Finding the Third Proportional to 127,821 and 280,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,821 : 280,489.50 = 280,489.50 : x
2. Step 2: Convert to fraction form
   127,821/280,489.50 = 280,489.50/x
3. Step 3: Cross multiply
   127,821x = 280,489.50 × 280,489.50
4. Step 4: Simplify right side
   127,821x = 78,674,359,610.25
5. Step 5: Solve for x
   x = 78,674,359,610.25/127,821
6. Step 6: Final answer
   x = 615,504.18