Finding the Third Proportional to 85,738.50 and 181,845

Step by Step Solution

1. Step 1: Write the proportion equation
   85,738.50 : 181,845 = 181,845 : x
2. Step 2: Convert to fraction form
   85,738.50/181,845 = 181,845/x
3. Step 3: Cross multiply
   85,738.50x = 181,845 × 181,845
4. Step 4: Simplify right side
   85,738.50x = 33,067,604,025
5. Step 5: Solve for x
   x = 33,067,604,025/85,738.50
6. Step 6: Final answer
   x = 385,679.76