Finding the Third Proportional to 170,142 and 261,162

Step by Step Solution

1. Step 1: Write the proportion equation
   170,142 : 261,162 = 261,162 : x
2. Step 2: Convert to fraction form
   170,142/261,162 = 261,162/x
3. Step 3: Cross multiply
   170,142x = 261,162 × 261,162
4. Step 4: Simplify right side
   170,142x = 68,205,590,244
5. Step 5: Solve for x
   x = 68,205,590,244/170,142
6. Step 6: Final answer
   x = 400,874.51