Finding the Third Proportional to 80,698.50 and 177,320.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,698.50 : 177,320.25 = 177,320.25 : x
2. Step 2: Convert to fraction form
   80,698.50/177,320.25 = 177,320.25/x
3. Step 3: Cross multiply
   80,698.50x = 177,320.25 × 177,320.25
4. Step 4: Simplify right side
   80,698.50x = 31,442,471,060.06
5. Step 5: Solve for x
   x = 31,442,471,060.06/80,698.50
6. Step 6: Final answer
   x = 389,628.94