Finding the Third Proportional to 65,167 and 142,792

Step by Step Solution

1. Step 1: Write the proportion equation
   65,167 : 142,792 = 142,792 : x
2. Step 2: Convert to fraction form
   65,167/142,792 = 142,792/x
3. Step 3: Cross multiply
   65,167x = 142,792 × 142,792
4. Step 4: Simplify right side
   65,167x = 20,389,555,264
5. Step 5: Solve for x
   x = 20,389,555,264/65,167
6. Step 6: Final answer
   x = 312,881.60