Finding the Third Proportional to 123,217 and 264,842

Step by Step Solution

1. Step 1: Write the proportion equation
   123,217 : 264,842 = 264,842 : x
2. Step 2: Convert to fraction form
   123,217/264,842 = 264,842/x
3. Step 3: Cross multiply
   123,217x = 264,842 × 264,842
4. Step 4: Simplify right side
   123,217x = 70,141,284,964
5. Step 5: Solve for x
   x = 70,141,284,964/123,217
6. Step 6: Final answer
   x = 569,250.06