Finding the Third Proportional to 50,858 and 73,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,858 : 73,978.50 = 73,978.50 : x
2. Step 2: Convert to fraction form
   50,858/73,978.50 = 73,978.50/x
3. Step 3: Cross multiply
   50,858x = 73,978.50 × 73,978.50
4. Step 4: Simplify right side
   50,858x = 5,472,818,462.25
5. Step 5: Solve for x
   x = 5,472,818,462.25/50,858
6. Step 6: Final answer
   x = 107,609.79