Finding the Third Proportional to 103,632 and 164,792

Step by Step Solution

1. Step 1: Write the proportion equation
   103,632 : 164,792 = 164,792 : x
2. Step 2: Convert to fraction form
   103,632/164,792 = 164,792/x
3. Step 3: Cross multiply
   103,632x = 164,792 × 164,792
4. Step 4: Simplify right side
   103,632x = 27,156,403,264
5. Step 5: Solve for x
   x = 27,156,403,264/103,632
6. Step 6: Final answer
   x = 262,046.50