Finding the Third Proportional to 123,508 and 265,742

Step by Step Solution

1. Step 1: Write the proportion equation
   123,508 : 265,742 = 265,742 : x
2. Step 2: Convert to fraction form
   123,508/265,742 = 265,742/x
3. Step 3: Cross multiply
   123,508x = 265,742 × 265,742
4. Step 4: Simplify right side
   123,508x = 70,618,810,564
5. Step 5: Solve for x
   x = 70,618,810,564/123,508
6. Step 6: Final answer
   x = 571,775.19