Finding the Third Proportional to 140,863.50 and 313,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,863.50 : 313,222.50 = 313,222.50 : x
2. Step 2: Convert to fraction form
   140,863.50/313,222.50 = 313,222.50/x
3. Step 3: Cross multiply
   140,863.50x = 313,222.50 × 313,222.50
4. Step 4: Simplify right side
   140,863.50x = 98,108,334,506.25
5. Step 5: Solve for x
   x = 98,108,334,506.25/140,863.50
6. Step 6: Final answer
   x = 696,478.04