Finding the Third Proportional to 83,080.25 and 180,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,080.25 : 180,182.50 = 180,182.50 : x
2. Step 2: Convert to fraction form
   83,080.25/180,182.50 = 180,182.50/x
3. Step 3: Cross multiply
   83,080.25x = 180,182.50 × 180,182.50
4. Step 4: Simplify right side
   83,080.25x = 32,465,733,306.25
5. Step 5: Solve for x
   x = 32,465,733,306.25/83,080.25
6. Step 6: Final answer
   x = 390,775.59