Finding the Third Proportional to 142,742 and 310,910

Step by Step Solution

1. Step 1: Write the proportion equation
   142,742 : 310,910 = 310,910 : x
2. Step 2: Convert to fraction form
   142,742/310,910 = 310,910/x
3. Step 3: Cross multiply
   142,742x = 310,910 × 310,910
4. Step 4: Simplify right side
   142,742x = 96,665,028,100
5. Step 5: Solve for x
   x = 96,665,028,100/142,742
6. Step 6: Final answer
   x = 677,201.02