Finding the Third Proportional to 123,165 and 265,326.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,165 : 265,326.75 = 265,326.75 : x
2. Step 2: Convert to fraction form
   123,165/265,326.75 = 265,326.75/x
3. Step 3: Cross multiply
   123,165x = 265,326.75 × 265,326.75
4. Step 4: Simplify right side
   123,165x = 70,398,284,265.56
5. Step 5: Solve for x
   x = 70,398,284,265.56/123,165
6. Step 6: Final answer
   x = 571,577.02