Finding the Third Proportional to 123,617 and 253,107

Step by Step Solution

1. Step 1: Write the proportion equation
   123,617 : 253,107 = 253,107 : x
2. Step 2: Convert to fraction form
   123,617/253,107 = 253,107/x
3. Step 3: Cross multiply
   123,617x = 253,107 × 253,107
4. Step 4: Simplify right side
   123,617x = 64,063,153,449
5. Step 5: Solve for x
   x = 64,063,153,449/123,617
6. Step 6: Final answer
   x = 518,239.02