Finding the Third Proportional to 78,012 and 120,738

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 120,738 = 120,738 : x
2. Step 2: Convert to fraction form
   78,012/120,738 = 120,738/x
3. Step 3: Cross multiply
   78,012x = 120,738 × 120,738
4. Step 4: Simplify right side
   78,012x = 14,577,664,644
5. Step 5: Solve for x
   x = 14,577,664,644/78,012
6. Step 6: Final answer
   x = 186,864.39