Finding the Third Proportional to 87,499.50 and 191,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,499.50 : 191,947.50 = 191,947.50 : x
2. Step 2: Convert to fraction form
   87,499.50/191,947.50 = 191,947.50/x
3. Step 3: Cross multiply
   87,499.50x = 191,947.50 × 191,947.50
4. Step 4: Simplify right side
   87,499.50x = 36,843,842,756.25
5. Step 5: Solve for x
   x = 36,843,842,756.25/87,499.50
6. Step 6: Final answer
   x = 421,074.89