Finding the Third Proportional to 105,561 and 158,148

Step by Step Solution

1. Step 1: Write the proportion equation
   105,561 : 158,148 = 158,148 : x
2. Step 2: Convert to fraction form
   105,561/158,148 = 158,148/x
3. Step 3: Cross multiply
   105,561x = 158,148 × 158,148
4. Step 4: Simplify right side
   105,561x = 25,010,789,904
5. Step 5: Solve for x
   x = 25,010,789,904/105,561
6. Step 6: Final answer
   x = 236,932.10