Finding the Third Proportional to 127,456.50 and 280,077

Step by Step Solution

1. Step 1: Write the proportion equation
   127,456.50 : 280,077 = 280,077 : x
2. Step 2: Convert to fraction form
   127,456.50/280,077 = 280,077/x
3. Step 3: Cross multiply
   127,456.50x = 280,077 × 280,077
4. Step 4: Simplify right side
   127,456.50x = 78,443,125,929
5. Step 5: Solve for x
   x = 78,443,125,929/127,456.50
6. Step 6: Final answer
   x = 615,450.18