Finding the Third Proportional to 127,008 and 266,814

Step by Step Solution

1. Step 1: Write the proportion equation
   127,008 : 266,814 = 266,814 : x
2. Step 2: Convert to fraction form
   127,008/266,814 = 266,814/x
3. Step 3: Cross multiply
   127,008x = 266,814 × 266,814
4. Step 4: Simplify right side
   127,008x = 71,189,710,596
5. Step 5: Solve for x
   x = 71,189,710,596/127,008
6. Step 6: Final answer
   x = 560,513.59