Finding the Third Proportional to 87,724 and 189,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,724 : 189,238.50 = 189,238.50 : x
2. Step 2: Convert to fraction form
   87,724/189,238.50 = 189,238.50/x
3. Step 3: Cross multiply
   87,724x = 189,238.50 × 189,238.50
4. Step 4: Simplify right side
   87,724x = 35,811,209,882.25
5. Step 5: Solve for x
   x = 35,811,209,882.25/87,724
6. Step 6: Final answer
   x = 408,225.91