Finding the Third Proportional to 37,113,359,361,720 and 75,284,960,180,880

Step by Step Solution

1. Step 1: Write the proportion equation
   37,113,359,361,720 : 75,284,960,180,880 = 75,284,960,180,880 : x
2. Step 2: Convert to fraction form
   37,113,359,361,720/75,284,960,180,880 = 75,284,960,180,880/x
3. Step 3: Cross multiply
   37,113,359,361,720x = 75,284,960,180,880 × 75,284,960,180,880
4. Step 4: Simplify right side
   37,113,359,361,720x = 5,667,825,229,436,686,770,318,082,048
5. Step 5: Solve for x
   x = 5,667,825,229,436,686,770,318,082,048/37,113,359,361,720
6. Step 6: Final answer
   x = 152,716,577,720,600.44