Finding the Third Proportional to 140,759 and 218,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,759 : 218,137.50 = 218,137.50 : x
2. Step 2: Convert to fraction form
   140,759/218,137.50 = 218,137.50/x
3. Step 3: Cross multiply
   140,759x = 218,137.50 × 218,137.50
4. Step 4: Simplify right side
   140,759x = 47,583,968,906.25
5. Step 5: Solve for x
   x = 47,583,968,906.25/140,759
6. Step 6: Final answer
   x = 338,052.76