Finding the Third Proportional to 123,162 and 265,315

Step by Step Solution

1. Step 1: Write the proportion equation
   123,162 : 265,315 = 265,315 : x
2. Step 2: Convert to fraction form
   123,162/265,315 = 265,315/x
3. Step 3: Cross multiply
   123,162x = 265,315 × 265,315
4. Step 4: Simplify right side
   123,162x = 70,392,049,225
5. Step 5: Solve for x
   x = 70,392,049,225/123,162
6. Step 6: Final answer
   x = 571,540.32