Finding the Third Proportional to 40,524 and 87,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,524 : 87,289.50 = 87,289.50 : x
2. Step 2: Convert to fraction form
   40,524/87,289.50 = 87,289.50/x
3. Step 3: Cross multiply
   40,524x = 87,289.50 × 87,289.50
4. Step 4: Simplify right side
   40,524x = 7,619,456,810.25
5. Step 5: Solve for x
   x = 7,619,456,810.25/40,524
6. Step 6: Final answer
   x = 188,023.31