Finding the Third Proportional to 123,165 and 266,022

Step by Step Solution

1. Step 1: Write the proportion equation
   123,165 : 266,022 = 266,022 : x
2. Step 2: Convert to fraction form
   123,165/266,022 = 266,022/x
3. Step 3: Cross multiply
   123,165x = 266,022 × 266,022
4. Step 4: Simplify right side
   123,165x = 70,767,704,484
5. Step 5: Solve for x
   x = 70,767,704,484/123,165
6. Step 6: Final answer
   x = 574,576.42