Finding the Third Proportional to 78,452 and 120,034

Step by Step Solution

1. Step 1: Write the proportion equation
   78,452 : 120,034 = 120,034 : x
2. Step 2: Convert to fraction form
   78,452/120,034 = 120,034/x
3. Step 3: Cross multiply
   78,452x = 120,034 × 120,034
4. Step 4: Simplify right side
   78,452x = 14,408,161,156
5. Step 5: Solve for x
   x = 14,408,161,156/78,452
6. Step 6: Final answer
   x = 183,655.75