Finding the Third Proportional to 87,614 and 137,280

Step by Step Solution

1. Step 1: Write the proportion equation
   87,614 : 137,280 = 137,280 : x
2. Step 2: Convert to fraction form
   87,614/137,280 = 137,280/x
3. Step 3: Cross multiply
   87,614x = 137,280 × 137,280
4. Step 4: Simplify right side
   87,614x = 18,845,798,400
5. Step 5: Solve for x
   x = 18,845,798,400/87,614
6. Step 6: Final answer
   x = 215,100.31