Finding the Third Proportional to 320,742 and 696,123

Step by Step Solution

1. Step 1: Write the proportion equation
   320,742 : 696,123 = 696,123 : x
2. Step 2: Convert to fraction form
   320,742/696,123 = 696,123/x
3. Step 3: Cross multiply
   320,742x = 696,123 × 696,123
4. Step 4: Simplify right side
   320,742x = 484,587,231,129
5. Step 5: Solve for x
   x = 484,587,231,129/320,742
6. Step 6: Final answer
   x = 1,510,831.86