Finding the Third Proportional to 105,540 and 154,614

Step by Step Solution

1. Step 1: Write the proportion equation
   105,540 : 154,614 = 154,614 : x
2. Step 2: Convert to fraction form
   105,540/154,614 = 154,614/x
3. Step 3: Cross multiply
   105,540x = 154,614 × 154,614
4. Step 4: Simplify right side
   105,540x = 23,905,488,996
5. Step 5: Solve for x
   x = 23,905,488,996/105,540
6. Step 6: Final answer
   x = 226,506.43