Finding the Third Proportional to 123,022 and 266,443

Step by Step Solution

1. Step 1: Write the proportion equation
   123,022 : 266,443 = 266,443 : x
2. Step 2: Convert to fraction form
   123,022/266,443 = 266,443/x
3. Step 3: Cross multiply
   123,022x = 266,443 × 266,443
4. Step 4: Simplify right side
   123,022x = 70,991,872,249
5. Step 5: Solve for x
   x = 70,991,872,249/123,022
6. Step 6: Final answer
   x = 577,066.48