Finding the Third Proportional to 110,956.50 and 209,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,956.50 : 209,614.50 = 209,614.50 : x
2. Step 2: Convert to fraction form
   110,956.50/209,614.50 = 209,614.50/x
3. Step 3: Cross multiply
   110,956.50x = 209,614.50 × 209,614.50
4. Step 4: Simplify right side
   110,956.50x = 43,938,238,610.25
5. Step 5: Solve for x
   x = 43,938,238,610.25/110,956.50
6. Step 6: Final answer
   x = 395,995.17