Finding the Third Proportional to 78,936 and 120,024

Step by Step Solution

1. Step 1: Write the proportion equation
   78,936 : 120,024 = 120,024 : x
2. Step 2: Convert to fraction form
   78,936/120,024 = 120,024/x
3. Step 3: Cross multiply
   78,936x = 120,024 × 120,024
4. Step 4: Simplify right side
   78,936x = 14,405,760,576
5. Step 5: Solve for x
   x = 14,405,760,576/78,936
6. Step 6: Final answer
   x = 182,499.25