Finding the Third Proportional to 87,466 and 137,506

Step by Step Solution

1. Step 1: Write the proportion equation
   87,466 : 137,506 = 137,506 : x
2. Step 2: Convert to fraction form
   87,466/137,506 = 137,506/x
3. Step 3: Cross multiply
   87,466x = 137,506 × 137,506
4. Step 4: Simplify right side
   87,466x = 18,907,900,036
5. Step 5: Solve for x
   x = 18,907,900,036/87,466
6. Step 6: Final answer
   x = 216,174.29