Finding the Third Proportional to 108,384 and 161,760

Step by Step Solution

1. Step 1: Write the proportion equation
   108,384 : 161,760 = 161,760 : x
2. Step 2: Convert to fraction form
   108,384/161,760 = 161,760/x
3. Step 3: Cross multiply
   108,384x = 161,760 × 161,760
4. Step 4: Simplify right side
   108,384x = 26,166,297,600
5. Step 5: Solve for x
   x = 26,166,297,600/108,384
6. Step 6: Final answer
   x = 241,422.14