Finding the Third Proportional to 106,838 and 233,521

Step by Step Solution

1. Step 1: Write the proportion equation
   106,838 : 233,521 = 233,521 : x
2. Step 2: Convert to fraction form
   106,838/233,521 = 233,521/x
3. Step 3: Cross multiply
   106,838x = 233,521 × 233,521
4. Step 4: Simplify right side
   106,838x = 54,532,057,441
5. Step 5: Solve for x
   x = 54,532,057,441/106,838
6. Step 6: Final answer
   x = 510,418.18