Finding the Third Proportional to 123,253 and 265,499

Step by Step Solution

1. Step 1: Write the proportion equation
   123,253 : 265,499 = 265,499 : x
2. Step 2: Convert to fraction form
   123,253/265,499 = 265,499/x
3. Step 3: Cross multiply
   123,253x = 265,499 × 265,499
4. Step 4: Simplify right side
   123,253x = 70,489,719,001
5. Step 5: Solve for x
   x = 70,489,719,001/123,253
6. Step 6: Final answer
   x = 571,910.78