Finding the Third Proportional to 128,742 and 188,504.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128,742 : 188,504.25 = 188,504.25 : x
2. Step 2: Convert to fraction form
   128,742/188,504.25 = 188,504.25/x
3. Step 3: Cross multiply
   128,742x = 188,504.25 × 188,504.25
4. Step 4: Simplify right side
   128,742x = 35,533,852,268.06
5. Step 5: Solve for x
   x = 35,533,852,268.06/128,742
6. Step 6: Final answer
   x = 276,008.24