Finding the Third Proportional to 83,185.50 and 129,290.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,185.50 : 129,290.25 = 129,290.25 : x
2. Step 2: Convert to fraction form
   83,185.50/129,290.25 = 129,290.25/x
3. Step 3: Cross multiply
   83,185.50x = 129,290.25 × 129,290.25
4. Step 4: Simplify right side
   83,185.50x = 16,715,968,745.06
5. Step 5: Solve for x
   x = 16,715,968,745.06/83,185.50
6. Step 6: Final answer
   x = 200,948.11