Finding the Third Proportional to 147,222 and 317,758

Step by Step Solution

1. Step 1: Write the proportion equation
   147,222 : 317,758 = 317,758 : x
2. Step 2: Convert to fraction form
   147,222/317,758 = 317,758/x
3. Step 3: Cross multiply
   147,222x = 317,758 × 317,758
4. Step 4: Simplify right side
   147,222x = 100,970,146,564
5. Step 5: Solve for x
   x = 100,970,146,564/147,222
6. Step 6: Final answer
   x = 685,835.99