Finding the Third Proportional to 40,309.31 and 85,423.36

Step by Step Solution

1. Step 1: Write the proportion equation
   40,309.31 : 85,423.36 = 85,423.36 : x
2. Step 2: Convert to fraction form
   40,309.31/85,423.36 = 85,423.36/x
3. Step 3: Cross multiply
   40,309.31x = 85,423.36 × 85,423.36
4. Step 4: Simplify right side
   40,309.31x = 7,297,150,326.91
5. Step 5: Solve for x
   x = 7,297,150,326.91/40,309.31
6. Step 6: Final answer
   x = 181,028.90