Finding the Third Proportional to 210,210 and 317,499

Step by Step Solution

1. Step 1: Write the proportion equation
   210,210 : 317,499 = 317,499 : x
2. Step 2: Convert to fraction form
   210,210/317,499 = 317,499/x
3. Step 3: Cross multiply
   210,210x = 317,499 × 317,499
4. Step 4: Simplify right side
   210,210x = 100,805,615,001
5. Step 5: Solve for x
   x = 100,805,615,001/210,210
6. Step 6: Final answer
   x = 479,547.19