Finding the Third Proportional to 142,853 and 311,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,853 : 311,103.50 = 311,103.50 : x
2. Step 2: Convert to fraction form
   142,853/311,103.50 = 311,103.50/x
3. Step 3: Cross multiply
   142,853x = 311,103.50 × 311,103.50
4. Step 4: Simplify right side
   142,853x = 96,785,387,712.25
5. Step 5: Solve for x
   x = 96,785,387,712.25/142,853
6. Step 6: Final answer
   x = 677,517.36