Finding the Third Proportional to 109,638 and 234,828

Step by Step Solution

1. Step 1: Write the proportion equation
   109,638 : 234,828 = 234,828 : x
2. Step 2: Convert to fraction form
   109,638/234,828 = 234,828/x
3. Step 3: Cross multiply
   109,638x = 234,828 × 234,828
4. Step 4: Simplify right side
   109,638x = 55,144,189,584
5. Step 5: Solve for x
   x = 55,144,189,584/109,638
6. Step 6: Final answer
   x = 502,966.03