Finding the Third Proportional to 87,648 and 192,792

Step by Step Solution

1. Step 1: Write the proportion equation
   87,648 : 192,792 = 192,792 : x
2. Step 2: Convert to fraction form
   87,648/192,792 = 192,792/x
3. Step 3: Cross multiply
   87,648x = 192,792 × 192,792
4. Step 4: Simplify right side
   87,648x = 37,168,755,264
5. Step 5: Solve for x
   x = 37,168,755,264/87,648
6. Step 6: Final answer
   x = 424,068.49