Finding the Third Proportional to 131,002.31 and 185,405.63

Step by Step Solution

1. Step 1: Write the proportion equation
   131,002.31 : 185,405.63 = 185,405.63 : x
2. Step 2: Convert to fraction form
   131,002.31/185,405.63 = 185,405.63/x
3. Step 3: Cross multiply
   131,002.31x = 185,405.63 × 185,405.63
4. Step 4: Simplify right side
   131,002.31x = 34,375,245,781.64
5. Step 5: Solve for x
   x = 34,375,245,781.64/131,002.31
6. Step 6: Final answer
   x = 262,401.82