Finding the Third Proportional to 123,669 and 264,861

Step by Step Solution

1. Step 1: Write the proportion equation
   123,669 : 264,861 = 264,861 : x
2. Step 2: Convert to fraction form
   123,669/264,861 = 264,861/x
3. Step 3: Cross multiply
   123,669x = 264,861 × 264,861
4. Step 4: Simplify right side
   123,669x = 70,151,349,321
5. Step 5: Solve for x
   x = 70,151,349,321/123,669
6. Step 6: Final answer
   x = 567,250.88