Finding the Third Proportional to 81,666 and 175,845

Step by Step Solution

1. Step 1: Write the proportion equation
   81,666 : 175,845 = 175,845 : x
2. Step 2: Convert to fraction form
   81,666/175,845 = 175,845/x
3. Step 3: Cross multiply
   81,666x = 175,845 × 175,845
4. Step 4: Simplify right side
   81,666x = 30,921,464,025
5. Step 5: Solve for x
   x = 30,921,464,025/81,666
6. Step 6: Final answer
   x = 378,633.26