Finding the Third Proportional to 140,478 and 310,500

Step by Step Solution

1. Step 1: Write the proportion equation
   140,478 : 310,500 = 310,500 : x
2. Step 2: Convert to fraction form
   140,478/310,500 = 310,500/x
3. Step 3: Cross multiply
   140,478x = 310,500 × 310,500
4. Step 4: Simplify right side
   140,478x = 96,410,250,000
5. Step 5: Solve for x
   x = 96,410,250,000/140,478
6. Step 6: Final answer
   x = 686,301.41