Finding the Third Proportional to 131,678 and 188,167

Step by Step Solution

1. Step 1: Write the proportion equation
   131,678 : 188,167 = 188,167 : x
2. Step 2: Convert to fraction form
   131,678/188,167 = 188,167/x
3. Step 3: Cross multiply
   131,678x = 188,167 × 188,167
4. Step 4: Simplify right side
   131,678x = 35,406,819,889
5. Step 5: Solve for x
   x = 35,406,819,889/131,678
6. Step 6: Final answer
   x = 268,889.41