Finding the Third Proportional to 202,080 and 317,016

Step by Step Solution

1. Step 1: Write the proportion equation
   202,080 : 317,016 = 317,016 : x
2. Step 2: Convert to fraction form
   202,080/317,016 = 317,016/x
3. Step 3: Cross multiply
   202,080x = 317,016 × 317,016
4. Step 4: Simplify right side
   202,080x = 100,499,144,256
5. Step 5: Solve for x
   x = 100,499,144,256/202,080
6. Step 6: Final answer
   x = 497,323.56