Finding the Third Proportional to 105,344 and 160,064

Step by Step Solution

1. Step 1: Write the proportion equation
   105,344 : 160,064 = 160,064 : x
2. Step 2: Convert to fraction form
   105,344/160,064 = 160,064/x
3. Step 3: Cross multiply
   105,344x = 160,064 × 160,064
4. Step 4: Simplify right side
   105,344x = 25,620,484,096
5. Step 5: Solve for x
   x = 25,620,484,096/105,344
6. Step 6: Final answer
   x = 243,207.82