Finding the Third Proportional to 142,697.50 and 209,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,697.50 : 209,908.50 = 209,908.50 : x
2. Step 2: Convert to fraction form
   142,697.50/209,908.50 = 209,908.50/x
3. Step 3: Cross multiply
   142,697.50x = 209,908.50 × 209,908.50
4. Step 4: Simplify right side
   142,697.50x = 44,061,578,372.25
5. Step 5: Solve for x
   x = 44,061,578,372.25/142,697.50
6. Step 6: Final answer
   x = 308,776.11