Finding the Third Proportional to 87,282 and 187,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,282 : 187,924.50 = 187,924.50 : x
2. Step 2: Convert to fraction form
   87,282/187,924.50 = 187,924.50/x
3. Step 3: Cross multiply
   87,282x = 187,924.50 × 187,924.50
4. Step 4: Simplify right side
   87,282x = 35,315,617,700.25
5. Step 5: Solve for x
   x = 35,315,617,700.25/87,282
6. Step 6: Final answer
   x = 404,615.13