Finding the Third Proportional to 83,409.75 and 172,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,409.75 : 172,651.50 = 172,651.50 : x
2. Step 2: Convert to fraction form
   83,409.75/172,651.50 = 172,651.50/x
3. Step 3: Cross multiply
   83,409.75x = 172,651.50 × 172,651.50
4. Step 4: Simplify right side
   83,409.75x = 29,808,540,452.25
5. Step 5: Solve for x
   x = 29,808,540,452.25/83,409.75
6. Step 6: Final answer
   x = 357,374.77