Finding the Third Proportional to 87,580 and 191,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,580 : 191,517.50 = 191,517.50 : x
2. Step 2: Convert to fraction form
   87,580/191,517.50 = 191,517.50/x
3. Step 3: Cross multiply
   87,580x = 191,517.50 × 191,517.50
4. Step 4: Simplify right side
   87,580x = 36,678,952,806.25
5. Step 5: Solve for x
   x = 36,678,952,806.25/87,580
6. Step 6: Final answer
   x = 418,805.12