Finding the Third Proportional to 80,824.50 and 175,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,824.50 : 175,816.50 = 175,816.50 : x
2. Step 2: Convert to fraction form
   80,824.50/175,816.50 = 175,816.50/x
3. Step 3: Cross multiply
   80,824.50x = 175,816.50 × 175,816.50
4. Step 4: Simplify right side
   80,824.50x = 30,911,441,672.25
5. Step 5: Solve for x
   x = 30,911,441,672.25/80,824.50
6. Step 6: Final answer
   x = 382,451.38