Finding the Third Proportional to 110,686.50 and 155,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,686.50 : 155,317.50 = 155,317.50 : x
2. Step 2: Convert to fraction form
   110,686.50/155,317.50 = 155,317.50/x
3. Step 3: Cross multiply
   110,686.50x = 155,317.50 × 155,317.50
4. Step 4: Simplify right side
   110,686.50x = 24,123,525,806.25
5. Step 5: Solve for x
   x = 24,123,525,806.25/110,686.50
6. Step 6: Final answer
   x = 217,944.61