Finding the Third Proportional to 50,583 and 80,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,583 : 80,383.50 = 80,383.50 : x
2. Step 2: Convert to fraction form
   50,583/80,383.50 = 80,383.50/x
3. Step 3: Cross multiply
   50,583x = 80,383.50 × 80,383.50
4. Step 4: Simplify right side
   50,583x = 6,461,507,072.25
5. Step 5: Solve for x
   x = 6,461,507,072.25/50,583
6. Step 6: Final answer
   x = 127,740.69