Finding the Third Proportional to 40,257 and 87,439.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,257 : 87,439.50 = 87,439.50 : x
2. Step 2: Convert to fraction form
   40,257/87,439.50 = 87,439.50/x
3. Step 3: Cross multiply
   40,257x = 87,439.50 × 87,439.50
4. Step 4: Simplify right side
   40,257x = 7,645,666,160.25
5. Step 5: Solve for x
   x = 7,645,666,160.25/40,257
6. Step 6: Final answer
   x = 189,921.41