Finding the Third Proportional to 87,147 and 188,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,147 : 188,947.50 = 188,947.50 : x
2. Step 2: Convert to fraction form
   87,147/188,947.50 = 188,947.50/x
3. Step 3: Cross multiply
   87,147x = 188,947.50 × 188,947.50
4. Step 4: Simplify right side
   87,147x = 35,701,157,756.25
5. Step 5: Solve for x
   x = 35,701,157,756.25/87,147
6. Step 6: Final answer
   x = 409,665.94