Finding the Third Proportional to 78,612 and 120,204

Step by Step Solution

1. Step 1: Write the proportion equation
   78,612 : 120,204 = 120,204 : x
2. Step 2: Convert to fraction form
   78,612/120,204 = 120,204/x
3. Step 3: Cross multiply
   78,612x = 120,204 × 120,204
4. Step 4: Simplify right side
   78,612x = 14,449,001,616
5. Step 5: Solve for x
   x = 14,449,001,616/78,612
6. Step 6: Final answer
   x = 183,801.48