Finding the Third Proportional to 123,366 and 265,443

Step by Step Solution

1. Step 1: Write the proportion equation
   123,366 : 265,443 = 265,443 : x
2. Step 2: Convert to fraction form
   123,366/265,443 = 265,443/x
3. Step 3: Cross multiply
   123,366x = 265,443 × 265,443
4. Step 4: Simplify right side
   123,366x = 70,459,986,249
5. Step 5: Solve for x
   x = 70,459,986,249/123,366
6. Step 6: Final answer
   x = 571,145.91