Finding the Third Proportional to 154,380 and 231,944

Step by Step Solution

1. Step 1: Write the proportion equation
   154,380 : 231,944 = 231,944 : x
2. Step 2: Convert to fraction form
   154,380/231,944 = 231,944/x
3. Step 3: Cross multiply
   154,380x = 231,944 × 231,944
4. Step 4: Simplify right side
   154,380x = 53,798,019,136
5. Step 5: Solve for x
   x = 53,798,019,136/154,380
6. Step 6: Final answer
   x = 348,477.91