Finding the Third Proportional to 119,136 and 185,238

Step by Step Solution

1. Step 1: Write the proportion equation
   119,136 : 185,238 = 185,238 : x
2. Step 2: Convert to fraction form
   119,136/185,238 = 185,238/x
3. Step 3: Cross multiply
   119,136x = 185,238 × 185,238
4. Step 4: Simplify right side
   119,136x = 34,313,116,644
5. Step 5: Solve for x
   x = 34,313,116,644/119,136
6. Step 6: Final answer
   x = 288,016.36