Finding the Third Proportional to 147,842 and 317,824

Step by Step Solution

1. Step 1: Write the proportion equation
   147,842 : 317,824 = 317,824 : x
2. Step 2: Convert to fraction form
   147,842/317,824 = 317,824/x
3. Step 3: Cross multiply
   147,842x = 317,824 × 317,824
4. Step 4: Simplify right side
   147,842x = 101,012,094,976
5. Step 5: Solve for x
   x = 101,012,094,976/147,842
6. Step 6: Final answer
   x = 683,243.56