Finding the Third Proportional to 56,690 and 123,742

Step by Step Solution

1. Step 1: Write the proportion equation
   56,690 : 123,742 = 123,742 : x
2. Step 2: Convert to fraction form
   56,690/123,742 = 123,742/x
3. Step 3: Cross multiply
   56,690x = 123,742 × 123,742
4. Step 4: Simplify right side
   56,690x = 15,312,082,564
5. Step 5: Solve for x
   x = 15,312,082,564/56,690
6. Step 6: Final answer
   x = 270,102.00