Finding the Third Proportional to 128,216 and 188,162

Step by Step Solution

1. Step 1: Write the proportion equation
   128,216 : 188,162 = 188,162 : x
2. Step 2: Convert to fraction form
   128,216/188,162 = 188,162/x
3. Step 3: Cross multiply
   128,216x = 188,162 × 188,162
4. Step 4: Simplify right side
   128,216x = 35,404,938,244
5. Step 5: Solve for x
   x = 35,404,938,244/128,216
6. Step 6: Final answer
   x = 276,135.10