Finding the Third Proportional to 131,898 and 194,949

Step by Step Solution

1. Step 1: Write the proportion equation
   131,898 : 194,949 = 194,949 : x
2. Step 2: Convert to fraction form
   131,898/194,949 = 194,949/x
3. Step 3: Cross multiply
   131,898x = 194,949 × 194,949
4. Step 4: Simplify right side
   131,898x = 38,005,112,601
5. Step 5: Solve for x
   x = 38,005,112,601/131,898
6. Step 6: Final answer
   x = 288,140.17