Finding the Third Proportional to 81,560.25 and 179,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,560.25 : 179,674.50 = 179,674.50 : x
2. Step 2: Convert to fraction form
   81,560.25/179,674.50 = 179,674.50/x
3. Step 3: Cross multiply
   81,560.25x = 179,674.50 × 179,674.50
4. Step 4: Simplify right side
   81,560.25x = 32,282,925,950.25
5. Step 5: Solve for x
   x = 32,282,925,950.25/81,560.25
6. Step 6: Final answer
   x = 395,816.91