Finding the Third Proportional to 230,016 and 309,136

Step by Step Solution

1. Step 1: Write the proportion equation
   230,016 : 309,136 = 309,136 : x
2. Step 2: Convert to fraction form
   230,016/309,136 = 309,136/x
3. Step 3: Cross multiply
   230,016x = 309,136 × 309,136
4. Step 4: Simplify right side
   230,016x = 95,565,066,496
5. Step 5: Solve for x
   x = 95,565,066,496/230,016
6. Step 6: Final answer
   x = 415,471.39