Finding the Third Proportional to 110,906 and 238,418

Step by Step Solution

1. Step 1: Write the proportion equation
   110,906 : 238,418 = 238,418 : x
2. Step 2: Convert to fraction form
   110,906/238,418 = 238,418/x
3. Step 3: Cross multiply
   110,906x = 238,418 × 238,418
4. Step 4: Simplify right side
   110,906x = 56,843,142,724
5. Step 5: Solve for x
   x = 56,843,142,724/110,906
6. Step 6: Final answer
   x = 512,534.42