Finding the Third Proportional to 50,493.38 and 78,405.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,493.38 : 78,405.75 = 78,405.75 : x
2. Step 2: Convert to fraction form
   50,493.38/78,405.75 = 78,405.75/x
3. Step 3: Cross multiply
   50,493.38x = 78,405.75 × 78,405.75
4. Step 4: Simplify right side
   50,493.38x = 6,147,461,633.06
5. Step 5: Solve for x
   x = 6,147,461,633.06/50,493.38
6. Step 6: Final answer
   x = 121,747.89