Finding the Third Proportional to 80,782.31 and 176,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,782.31 : 176,053.50 = 176,053.50 : x
2. Step 2: Convert to fraction form
   80,782.31/176,053.50 = 176,053.50/x
3. Step 3: Cross multiply
   80,782.31x = 176,053.50 × 176,053.50
4. Step 4: Simplify right side
   80,782.31x = 30,994,834,862.25
5. Step 5: Solve for x
   x = 30,994,834,862.25/80,782.31
6. Step 6: Final answer
   x = 383,683.43