Finding the Third Proportional to 78,456 and 120,012

Step by Step Solution

1. Step 1: Write the proportion equation
   78,456 : 120,012 = 120,012 : x
2. Step 2: Convert to fraction form
   78,456/120,012 = 120,012/x
3. Step 3: Cross multiply
   78,456x = 120,012 × 120,012
4. Step 4: Simplify right side
   78,456x = 14,402,880,144
5. Step 5: Solve for x
   x = 14,402,880,144/78,456
6. Step 6: Final answer
   x = 183,579.08