Finding the Third Proportional to 128,744 and 188,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,744 : 188,506.50 = 188,506.50 : x
2. Step 2: Convert to fraction form
   128,744/188,506.50 = 188,506.50/x
3. Step 3: Cross multiply
   128,744x = 188,506.50 × 188,506.50
4. Step 4: Simplify right side
   128,744x = 35,534,700,542.25
5. Step 5: Solve for x
   x = 35,534,700,542.25/128,744
6. Step 6: Final answer
   x = 276,010.54