Finding the Third Proportional to 74,872 and 109,380

Step by Step Solution

1. Step 1: Write the proportion equation
   74,872 : 109,380 = 109,380 : x
2. Step 2: Convert to fraction form
   74,872/109,380 = 109,380/x
3. Step 3: Cross multiply
   74,872x = 109,380 × 109,380
4. Step 4: Simplify right side
   74,872x = 11,963,984,400
5. Step 5: Solve for x
   x = 11,963,984,400/74,872
6. Step 6: Final answer
   x = 159,792.50