Finding the Third Proportional to 127,123 and 279,634

Step by Step Solution

1. Step 1: Write the proportion equation
   127,123 : 279,634 = 279,634 : x
2. Step 2: Convert to fraction form
   127,123/279,634 = 279,634/x
3. Step 3: Cross multiply
   127,123x = 279,634 × 279,634
4. Step 4: Simplify right side
   127,123x = 78,195,173,956
5. Step 5: Solve for x
   x = 78,195,173,956/127,123
6. Step 6: Final answer
   x = 615,114.29