Finding the Third Proportional to 99,744 and 146,664

Step by Step Solution

1. Step 1: Write the proportion equation
   99,744 : 146,664 = 146,664 : x
2. Step 2: Convert to fraction form
   99,744/146,664 = 146,664/x
3. Step 3: Cross multiply
   99,744x = 146,664 × 146,664
4. Step 4: Simplify right side
   99,744x = 21,510,328,896
5. Step 5: Solve for x
   x = 21,510,328,896/99,744
6. Step 6: Final answer
   x = 215,655.37