Finding the Third Proportional to 69,002 and 128,162

Step by Step Solution

1. Step 1: Write the proportion equation
   69,002 : 128,162 = 128,162 : x
2. Step 2: Convert to fraction form
   69,002/128,162 = 128,162/x
3. Step 3: Cross multiply
   69,002x = 128,162 × 128,162
4. Step 4: Simplify right side
   69,002x = 16,425,498,244
5. Step 5: Solve for x
   x = 16,425,498,244/69,002
6. Step 6: Final answer
   x = 238,043.80