Finding the Third Proportional to 147,210 and 317,736

Step by Step Solution

1. Step 1: Write the proportion equation
   147,210 : 317,736 = 317,736 : x
2. Step 2: Convert to fraction form
   147,210/317,736 = 317,736/x
3. Step 3: Cross multiply
   147,210x = 317,736 × 317,736
4. Step 4: Simplify right side
   147,210x = 100,956,165,696
5. Step 5: Solve for x
   x = 100,956,165,696/147,210
6. Step 6: Final answer
   x = 685,796.93