Finding the Third Proportional to 115,200 and 188,112

Step by Step Solution

1. Step 1: Write the proportion equation
   115,200 : 188,112 = 188,112 : x
2. Step 2: Convert to fraction form
   115,200/188,112 = 188,112/x
3. Step 3: Cross multiply
   115,200x = 188,112 × 188,112
4. Step 4: Simplify right side
   115,200x = 35,386,124,544
5. Step 5: Solve for x
   x = 35,386,124,544/115,200
6. Step 6: Final answer
   x = 307,171.22