Finding the Third Proportional to 78,478 and 120,072

Step by Step Solution

1. Step 1: Write the proportion equation
   78,478 : 120,072 = 120,072 : x
2. Step 2: Convert to fraction form
   78,478/120,072 = 120,072/x
3. Step 3: Cross multiply
   78,478x = 120,072 × 120,072
4. Step 4: Simplify right side
   78,478x = 14,417,285,184
5. Step 5: Solve for x
   x = 14,417,285,184/78,478
6. Step 6: Final answer
   x = 183,711.17