Finding the Third Proportional to 65,037 and 140,442

Step by Step Solution

1. Step 1: Write the proportion equation
   65,037 : 140,442 = 140,442 : x
2. Step 2: Convert to fraction form
   65,037/140,442 = 140,442/x
3. Step 3: Cross multiply
   65,037x = 140,442 × 140,442
4. Step 4: Simplify right side
   65,037x = 19,723,955,364
5. Step 5: Solve for x
   x = 19,723,955,364/65,037
6. Step 6: Final answer
   x = 303,272.83