Finding the Third Proportional to 105,024 and 158,064

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 158,064 = 158,064 : x
2. Step 2: Convert to fraction form
   105,024/158,064 = 158,064/x
3. Step 3: Cross multiply
   105,024x = 158,064 × 158,064
4. Step 4: Simplify right side
   105,024x = 24,984,228,096
5. Step 5: Solve for x
   x = 24,984,228,096/105,024
6. Step 6: Final answer
   x = 237,890.65