Finding the Third Proportional to 91,735.50 and 140,338.25

Step by Step Solution

1. Step 1: Write the proportion equation
   91,735.50 : 140,338.25 = 140,338.25 : x
2. Step 2: Convert to fraction form
   91,735.50/140,338.25 = 140,338.25/x
3. Step 3: Cross multiply
   91,735.50x = 140,338.25 × 140,338.25
4. Step 4: Simplify right side
   91,735.50x = 19,694,824,413.06
5. Step 5: Solve for x
   x = 19,694,824,413.06/91,735.50
6. Step 6: Final answer
   x = 214,691.42