Finding the Third Proportional to 105,323 and 161,505

Step by Step Solution

1. Step 1: Write the proportion equation
   105,323 : 161,505 = 161,505 : x
2. Step 2: Convert to fraction form
   105,323/161,505 = 161,505/x
3. Step 3: Cross multiply
   105,323x = 161,505 × 161,505
4. Step 4: Simplify right side
   105,323x = 26,083,865,025
5. Step 5: Solve for x
   x = 26,083,865,025/105,323
6. Step 6: Final answer
   x = 247,655.93