Finding the Third Proportional to 87,570 and 138,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,570 : 138,685.50 = 138,685.50 : x
2. Step 2: Convert to fraction form
   87,570/138,685.50 = 138,685.50/x
3. Step 3: Cross multiply
   87,570x = 138,685.50 × 138,685.50
4. Step 4: Simplify right side
   87,570x = 19,233,667,910.25
5. Step 5: Solve for x
   x = 19,233,667,910.25/87,570
6. Step 6: Final answer
   x = 219,637.64