Finding the Third Proportional to 87,993 and 189,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,993 : 189,688.50 = 189,688.50 : x
2. Step 2: Convert to fraction form
   87,993/189,688.50 = 189,688.50/x
3. Step 3: Cross multiply
   87,993x = 189,688.50 × 189,688.50
4. Step 4: Simplify right side
   87,993x = 35,981,727,032.25
5. Step 5: Solve for x
   x = 35,981,727,032.25/87,993
6. Step 6: Final answer
   x = 408,915.79