Finding the Third Proportional to 146,222 and 317,500

Step by Step Solution

1. Step 1: Write the proportion equation
   146,222 : 317,500 = 317,500 : x
2. Step 2: Convert to fraction form
   146,222/317,500 = 317,500/x
3. Step 3: Cross multiply
   146,222x = 317,500 × 317,500
4. Step 4: Simplify right side
   146,222x = 100,806,250,000
5. Step 5: Solve for x
   x = 100,806,250,000/146,222
6. Step 6: Final answer
   x = 689,405.49