Finding the Third Proportional to 87,462 and 137,499.75

Step by Step Solution

1. Step 1: Write the proportion equation
   87,462 : 137,499.75 = 137,499.75 : x
2. Step 2: Convert to fraction form
   87,462/137,499.75 = 137,499.75/x
3. Step 3: Cross multiply
   87,462x = 137,499.75 × 137,499.75
4. Step 4: Simplify right side
   87,462x = 18,906,181,250.06
5. Step 5: Solve for x
   x = 18,906,181,250.06/87,462
6. Step 6: Final answer
   x = 216,164.52