Finding the Third Proportional to 114,076 and 266,530

Step by Step Solution

1. Step 1: Write the proportion equation
   114,076 : 266,530 = 266,530 : x
2. Step 2: Convert to fraction form
   114,076/266,530 = 266,530/x
3. Step 3: Cross multiply
   114,076x = 266,530 × 266,530
4. Step 4: Simplify right side
   114,076x = 71,038,240,900
5. Step 5: Solve for x
   x = 71,038,240,900/114,076
6. Step 6: Final answer
   x = 622,727.31