Finding the Third Proportional to 123,723 and 264,940

Step by Step Solution

1. Step 1: Write the proportion equation
   123,723 : 264,940 = 264,940 : x
2. Step 2: Convert to fraction form
   123,723/264,940 = 264,940/x
3. Step 3: Cross multiply
   123,723x = 264,940 × 264,940
4. Step 4: Simplify right side
   123,723x = 70,193,203,600
5. Step 5: Solve for x
   x = 70,193,203,600/123,723
6. Step 6: Final answer
   x = 567,341.59