Finding the Third Proportional to 72,792 and 109,188

Step by Step Solution

1. Step 1: Write the proportion equation
   72,792 : 109,188 = 109,188 : x
2. Step 2: Convert to fraction form
   72,792/109,188 = 109,188/x
3. Step 3: Cross multiply
   72,792x = 109,188 × 109,188
4. Step 4: Simplify right side
   72,792x = 11,922,019,344
5. Step 5: Solve for x
   x = 11,922,019,344/72,792
6. Step 6: Final answer
   x = 163,782