Finding the Third Proportional to 140,503.50 and 210,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,503.50 : 210,757.50 = 210,757.50 : x
2. Step 2: Convert to fraction form
   140,503.50/210,757.50 = 210,757.50/x
3. Step 3: Cross multiply
   140,503.50x = 210,757.50 × 210,757.50
4. Step 4: Simplify right side
   140,503.50x = 44,418,723,806.25
5. Step 5: Solve for x
   x = 44,418,723,806.25/140,503.50
6. Step 6: Final answer
   x = 316,139.63