Finding the Third Proportional to 123,705 and 275,742

Step by Step Solution

1. Step 1: Write the proportion equation
   123,705 : 275,742 = 275,742 : x
2. Step 2: Convert to fraction form
   123,705/275,742 = 275,742/x
3. Step 3: Cross multiply
   123,705x = 275,742 × 275,742
4. Step 4: Simplify right side
   123,705x = 76,033,650,564
5. Step 5: Solve for x
   x = 76,033,650,564/123,705
6. Step 6: Final answer
   x = 614,636.84