Finding the Third Proportional to 50,494 and 78,182

Step by Step Solution

1. Step 1: Write the proportion equation
   50,494 : 78,182 = 78,182 : x
2. Step 2: Convert to fraction form
   50,494/78,182 = 78,182/x
3. Step 3: Cross multiply
   50,494x = 78,182 × 78,182
4. Step 4: Simplify right side
   50,494x = 6,112,425,124
5. Step 5: Solve for x
   x = 6,112,425,124/50,494
6. Step 6: Final answer
   x = 121,052.50