Finding the Third Proportional to 127,114 and 279,764

Step by Step Solution

1. Step 1: Write the proportion equation
   127,114 : 279,764 = 279,764 : x
2. Step 2: Convert to fraction form
   127,114/279,764 = 279,764/x
3. Step 3: Cross multiply
   127,114x = 279,764 × 279,764
4. Step 4: Simplify right side
   127,114x = 78,267,895,696
5. Step 5: Solve for x
   x = 78,267,895,696/127,114
6. Step 6: Final answer
   x = 615,729.94