Finding the Third Proportional to 52,564 and 116,792

Step by Step Solution

1. Step 1: Write the proportion equation
   52,564 : 116,792 = 116,792 : x
2. Step 2: Convert to fraction form
   52,564/116,792 = 116,792/x
3. Step 3: Cross multiply
   52,564x = 116,792 × 116,792
4. Step 4: Simplify right side
   52,564x = 13,640,371,264
5. Step 5: Solve for x
   x = 13,640,371,264/52,564
6. Step 6: Final answer
   x = 259,500.25