Finding the Third Proportional to 83,641.50 and 182,517.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,641.50 : 182,517.75 = 182,517.75 : x
2. Step 2: Convert to fraction form
   83,641.50/182,517.75 = 182,517.75/x
3. Step 3: Cross multiply
   83,641.50x = 182,517.75 × 182,517.75
4. Step 4: Simplify right side
   83,641.50x = 33,312,729,065.06
5. Step 5: Solve for x
   x = 33,312,729,065.06/83,641.50
6. Step 6: Final answer
   x = 398,279.91