Finding the Third Proportional to 83,920.50 and 182,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,920.50 : 182,449.50 = 182,449.50 : x
2. Step 2: Convert to fraction form
   83,920.50/182,449.50 = 182,449.50/x
3. Step 3: Cross multiply
   83,920.50x = 182,449.50 × 182,449.50
4. Step 4: Simplify right side
   83,920.50x = 33,287,820,050.25
5. Step 5: Solve for x
   x = 33,287,820,050.25/83,920.50
6. Step 6: Final answer
   x = 396,658.98