Finding the Third Proportional to 50,533 and 84,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,533 : 84,214.50 = 84,214.50 : x
2. Step 2: Convert to fraction form
   50,533/84,214.50 = 84,214.50/x
3. Step 3: Cross multiply
   50,533x = 84,214.50 × 84,214.50
4. Step 4: Simplify right side
   50,533x = 7,092,082,010.25
5. Step 5: Solve for x
   x = 7,092,082,010.25/50,533
6. Step 6: Final answer
   x = 140,345.56