Finding the Third Proportional to 105,540 and 148,627

Step by Step Solution

1. Step 1: Write the proportion equation
   105,540 : 148,627 = 148,627 : x
2. Step 2: Convert to fraction form
   105,540/148,627 = 148,627/x
3. Step 3: Cross multiply
   105,540x = 148,627 × 148,627
4. Step 4: Simplify right side
   105,540x = 22,089,985,129
5. Step 5: Solve for x
   x = 22,089,985,129/105,540
6. Step 6: Final answer
   x = 209,304.39