Finding the Third Proportional to 110,442 and 147,144

Step by Step Solution

1. Step 1: Write the proportion equation
   110,442 : 147,144 = 147,144 : x
2. Step 2: Convert to fraction form
   110,442/147,144 = 147,144/x
3. Step 3: Cross multiply
   110,442x = 147,144 × 147,144
4. Step 4: Simplify right side
   110,442x = 21,651,356,736
5. Step 5: Solve for x
   x = 21,651,356,736/110,442
6. Step 6: Final answer
   x = 196,042.78