Finding the Third Proportional to 230,020 and 309,142

Step by Step Solution

1. Step 1: Write the proportion equation
   230,020 : 309,142 = 309,142 : x
2. Step 2: Convert to fraction form
   230,020/309,142 = 309,142/x
3. Step 3: Cross multiply
   230,020x = 309,142 × 309,142
4. Step 4: Simplify right side
   230,020x = 95,568,776,164
5. Step 5: Solve for x
   x = 95,568,776,164/230,020
6. Step 6: Final answer
   x = 415,480.29