Finding the Third Proportional to 105,106 and 233,540

Step by Step Solution

1. Step 1: Write the proportion equation
   105,106 : 233,540 = 233,540 : x
2. Step 2: Convert to fraction form
   105,106/233,540 = 233,540/x
3. Step 3: Cross multiply
   105,106x = 233,540 × 233,540
4. Step 4: Simplify right side
   105,106x = 54,540,931,600
5. Step 5: Solve for x
   x = 54,540,931,600/105,106
6. Step 6: Final answer
   x = 518,913.59