Finding the Third Proportional to 78,456 and 120,039

Step by Step Solution

1. Step 1: Write the proportion equation
   78,456 : 120,039 = 120,039 : x
2. Step 2: Convert to fraction form
   78,456/120,039 = 120,039/x
3. Step 3: Cross multiply
   78,456x = 120,039 × 120,039
4. Step 4: Simplify right side
   78,456x = 14,409,361,521
5. Step 5: Solve for x
   x = 14,409,361,521/78,456
6. Step 6: Final answer
   x = 183,661.69