Finding the Third Proportional to 146,994 and 317,604

Step by Step Solution

1. Step 1: Write the proportion equation
   146,994 : 317,604 = 317,604 : x
2. Step 2: Convert to fraction form
   146,994/317,604 = 317,604/x
3. Step 3: Cross multiply
   146,994x = 317,604 × 317,604
4. Step 4: Simplify right side
   146,994x = 100,872,300,816
5. Step 5: Solve for x
   x = 100,872,300,816/146,994
6. Step 6: Final answer
   x = 686,234.14