Finding the Third Proportional to 109,108 and 238,464

Step by Step Solution

1. Step 1: Write the proportion equation
   109,108 : 238,464 = 238,464 : x
2. Step 2: Convert to fraction form
   109,108/238,464 = 238,464/x
3. Step 3: Cross multiply
   109,108x = 238,464 × 238,464
4. Step 4: Simplify right side
   109,108x = 56,865,079,296
5. Step 5: Solve for x
   x = 56,865,079,296/109,108
6. Step 6: Final answer
   x = 521,181.58