Finding the Third Proportional to 50,539.50 and 84,224.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,539.50 : 84,224.25 = 84,224.25 : x
2. Step 2: Convert to fraction form
   50,539.50/84,224.25 = 84,224.25/x
3. Step 3: Cross multiply
   50,539.50x = 84,224.25 × 84,224.25
4. Step 4: Simplify right side
   50,539.50x = 7,093,724,288.06
5. Step 5: Solve for x
   x = 7,093,724,288.06/50,539.50
6. Step 6: Final answer
   x = 140,360.00