Finding the Third Proportional to 146,220 and 317,496

Step by Step Solution

1. Step 1: Write the proportion equation
   146,220 : 317,496 = 317,496 : x
2. Step 2: Convert to fraction form
   146,220/317,496 = 317,496/x
3. Step 3: Cross multiply
   146,220x = 317,496 × 317,496
4. Step 4: Simplify right side
   146,220x = 100,803,710,016
5. Step 5: Solve for x
   x = 100,803,710,016/146,220
6. Step 6: Final answer
   x = 689,397.55