Finding the Third Proportional to 87,414 and 187,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,414 : 187,570.50 = 187,570.50 : x
2. Step 2: Convert to fraction form
   87,414/187,570.50 = 187,570.50/x
3. Step 3: Cross multiply
   87,414x = 187,570.50 × 187,570.50
4. Step 4: Simplify right side
   87,414x = 35,182,692,470.25
5. Step 5: Solve for x
   x = 35,182,692,470.25/87,414
6. Step 6: Final answer
   x = 402,483.50