Finding the Third Proportional to 123,114 and 265,065

Step by Step Solution

1. Step 1: Write the proportion equation
   123,114 : 265,065 = 265,065 : x
2. Step 2: Convert to fraction form
   123,114/265,065 = 265,065/x
3. Step 3: Cross multiply
   123,114x = 265,065 × 265,065
4. Step 4: Simplify right side
   123,114x = 70,259,454,225
5. Step 5: Solve for x
   x = 70,259,454,225/123,114
6. Step 6: Final answer
   x = 570,686.15