Finding the Third Proportional to 78,384 and 120,108

Step by Step Solution

1. Step 1: Write the proportion equation
   78,384 : 120,108 = 120,108 : x
2. Step 2: Convert to fraction form
   78,384/120,108 = 120,108/x
3. Step 3: Cross multiply
   78,384x = 120,108 × 120,108
4. Step 4: Simplify right side
   78,384x = 14,425,931,664
5. Step 5: Solve for x
   x = 14,425,931,664/78,384
6. Step 6: Final answer
   x = 184,041.79