Finding the Third Proportional to 131,654 and 188,133

Step by Step Solution

1. Step 1: Write the proportion equation
   131,654 : 188,133 = 188,133 : x
2. Step 2: Convert to fraction form
   131,654/188,133 = 188,133/x
3. Step 3: Cross multiply
   131,654x = 188,133 × 188,133
4. Step 4: Simplify right side
   131,654x = 35,394,025,689
5. Step 5: Solve for x
   x = 35,394,025,689/131,654
6. Step 6: Final answer
   x = 268,841.25