Finding the Third Proportional to 65,060 and 142,792

Step by Step Solution

1. Step 1: Write the proportion equation
   65,060 : 142,792 = 142,792 : x
2. Step 2: Convert to fraction form
   65,060/142,792 = 142,792/x
3. Step 3: Cross multiply
   65,060x = 142,792 × 142,792
4. Step 4: Simplify right side
   65,060x = 20,389,555,264
5. Step 5: Solve for x
   x = 20,389,555,264/65,060
6. Step 6: Final answer
   x = 313,396.18