Finding the Third Proportional to 40,257 and 108,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,257 : 108,661.50 = 108,661.50 : x
2. Step 2: Convert to fraction form
   40,257/108,661.50 = 108,661.50/x
3. Step 3: Cross multiply
   40,257x = 108,661.50 × 108,661.50
4. Step 4: Simplify right side
   40,257x = 11,807,321,582.25
5. Step 5: Solve for x
   x = 11,807,321,582.25/40,257
6. Step 6: Final answer
   x = 293,298.60