Finding the Third Proportional to 123,617 and 264,730

Step by Step Solution

1. Step 1: Write the proportion equation
   123,617 : 264,730 = 264,730 : x
2. Step 2: Convert to fraction form
   123,617/264,730 = 264,730/x
3. Step 3: Cross multiply
   123,617x = 264,730 × 264,730
4. Step 4: Simplify right side
   123,617x = 70,081,972,900
5. Step 5: Solve for x
   x = 70,081,972,900/123,617
6. Step 6: Final answer
   x = 566,928.28