Finding the Third Proportional to 72,792 and 109,287

Step by Step Solution

1. Step 1: Write the proportion equation
   72,792 : 109,287 = 109,287 : x
2. Step 2: Convert to fraction form
   72,792/109,287 = 109,287/x
3. Step 3: Cross multiply
   72,792x = 109,287 × 109,287
4. Step 4: Simplify right side
   72,792x = 11,943,648,369
5. Step 5: Solve for x
   x = 11,943,648,369/72,792
6. Step 6: Final answer
   x = 164,079.13