Finding the Third Proportional to 147,216 and 317,760

Step by Step Solution

1. Step 1: Write the proportion equation
   147,216 : 317,760 = 317,760 : x
2. Step 2: Convert to fraction form
   147,216/317,760 = 317,760/x
3. Step 3: Cross multiply
   147,216x = 317,760 × 317,760
4. Step 4: Simplify right side
   147,216x = 100,971,417,600
5. Step 5: Solve for x
   x = 100,971,417,600/147,216
6. Step 6: Final answer
   x = 685,872.58