Finding the Third Proportional to 99,648 and 149,760

Step by Step Solution

1. Step 1: Write the proportion equation
   99,648 : 149,760 = 149,760 : x
2. Step 2: Convert to fraction form
   99,648/149,760 = 149,760/x
3. Step 3: Cross multiply
   99,648x = 149,760 × 149,760
4. Step 4: Simplify right side
   99,648x = 22,428,057,600
5. Step 5: Solve for x
   x = 22,428,057,600/99,648
6. Step 6: Final answer
   x = 225,072.83