Finding the Third Proportional to 83,414.50 and 173,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,414.50 : 173,739.50 = 173,739.50 : x
2. Step 2: Convert to fraction form
   83,414.50/173,739.50 = 173,739.50/x
3. Step 3: Cross multiply
   83,414.50x = 173,739.50 × 173,739.50
4. Step 4: Simplify right side
   83,414.50x = 30,185,413,860.25
5. Step 5: Solve for x
   x = 30,185,413,860.25/83,414.50
6. Step 6: Final answer
   x = 361,872.50