Finding the Third Proportional to 81,875 and 179,025

Step by Step Solution

1. Step 1: Write the proportion equation
   81,875 : 179,025 = 179,025 : x
2. Step 2: Convert to fraction form
   81,875/179,025 = 179,025/x
3. Step 3: Cross multiply
   81,875x = 179,025 × 179,025
4. Step 4: Simplify right side
   81,875x = 32,049,950,625
5. Step 5: Solve for x
   x = 32,049,950,625/81,875
6. Step 6: Final answer
   x = 391,449.78