Finding the Third Proportional to 123,134 and 265,952

Step by Step Solution

1. Step 1: Write the proportion equation
   123,134 : 265,952 = 265,952 : x
2. Step 2: Convert to fraction form
   123,134/265,952 = 265,952/x
3. Step 3: Cross multiply
   123,134x = 265,952 × 265,952
4. Step 4: Simplify right side
   123,134x = 70,730,466,304
5. Step 5: Solve for x
   x = 70,730,466,304/123,134
6. Step 6: Final answer
   x = 574,418.65