Finding the Third Proportional to 50,781 and 74,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,781 : 74,209.50 = 74,209.50 : x
2. Step 2: Convert to fraction form
   50,781/74,209.50 = 74,209.50/x
3. Step 3: Cross multiply
   50,781x = 74,209.50 × 74,209.50
4. Step 4: Simplify right side
   50,781x = 5,507,049,890.25
5. Step 5: Solve for x
   x = 5,507,049,890.25/50,781
6. Step 6: Final answer
   x = 108,447.05