Finding the Third Proportional to 56,678 and 120,082

Step by Step Solution

1. Step 1: Write the proportion equation
   56,678 : 120,082 = 120,082 : x
2. Step 2: Convert to fraction form
   56,678/120,082 = 120,082/x
3. Step 3: Cross multiply
   56,678x = 120,082 × 120,082
4. Step 4: Simplify right side
   56,678x = 14,419,686,724
5. Step 5: Solve for x
   x = 14,419,686,724/56,678
6. Step 6: Final answer
   x = 254,414.18