Finding the Third Proportional to 123,164 and 266,570

Step by Step Solution

1. Step 1: Write the proportion equation
   123,164 : 266,570 = 266,570 : x
2. Step 2: Convert to fraction form
   123,164/266,570 = 266,570/x
3. Step 3: Cross multiply
   123,164x = 266,570 × 266,570
4. Step 4: Simplify right side
   123,164x = 71,059,564,900
5. Step 5: Solve for x
   x = 71,059,564,900/123,164
6. Step 6: Final answer
   x = 576,950.77