Finding the Third Proportional to 85,402,947,716 and 177,874,645,188

Step by Step Solution

1. Step 1: Write the proportion equation
   85,402,947,716 : 177,874,645,188 = 177,874,645,188 : x
2. Step 2: Convert to fraction form
   85,402,947,716/177,874,645,188 = 177,874,645,188/x
3. Step 3: Cross multiply
   85,402,947,716x = 177,874,645,188 × 177,874,645,188
4. Step 4: Simplify right side
   85,402,947,716x = 31,639,389,400,756,891,156,480
5. Step 5: Solve for x
   x = 31,639,389,400,756,891,156,480/85,402,947,716
6. Step 6: Final answer
   x = 370,471,865,982.55