Finding the Third Proportional to 123,165 and 266,568.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,165 : 266,568.75 = 266,568.75 : x
2. Step 2: Convert to fraction form
   123,165/266,568.75 = 266,568.75/x
3. Step 3: Cross multiply
   123,165x = 266,568.75 × 266,568.75
4. Step 4: Simplify right side
   123,165x = 71,058,898,476.56
5. Step 5: Solve for x
   x = 71,058,898,476.56/123,165
6. Step 6: Final answer
   x = 576,940.68