Finding the Third Proportional to 81,666 and 179,885.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,666 : 179,885.25 = 179,885.25 : x
2. Step 2: Convert to fraction form
   81,666/179,885.25 = 179,885.25/x
3. Step 3: Cross multiply
   81,666x = 179,885.25 × 179,885.25
4. Step 4: Simplify right side
   81,666x = 32,358,703,167.56
5. Step 5: Solve for x
   x = 32,358,703,167.56/81,666
6. Step 6: Final answer
   x = 396,232.25