Finding the Third Proportional to 127,662 and 194,949

Step by Step Solution

1. Step 1: Write the proportion equation
   127,662 : 194,949 = 194,949 : x
2. Step 2: Convert to fraction form
   127,662/194,949 = 194,949/x
3. Step 3: Cross multiply
   127,662x = 194,949 × 194,949
4. Step 4: Simplify right side
   127,662x = 38,005,112,601
5. Step 5: Solve for x
   x = 38,005,112,601/127,662
6. Step 6: Final answer
   x = 297,701.06