Finding the Third Proportional to 147,936 and 317,328

Step by Step Solution

1. Step 1: Write the proportion equation
   147,936 : 317,328 = 317,328 : x
2. Step 2: Convert to fraction form
   147,936/317,328 = 317,328/x
3. Step 3: Cross multiply
   147,936x = 317,328 × 317,328
4. Step 4: Simplify right side
   147,936x = 100,697,059,584
5. Step 5: Solve for x
   x = 100,697,059,584/147,936
6. Step 6: Final answer
   x = 680,679.89