Finding the Third Proportional to 127,656 and 194,940

Step by Step Solution

1. Step 1: Write the proportion equation
   127,656 : 194,940 = 194,940 : x
2. Step 2: Convert to fraction form
   127,656/194,940 = 194,940/x
3. Step 3: Cross multiply
   127,656x = 194,940 × 194,940
4. Step 4: Simplify right side
   127,656x = 38,001,603,600
5. Step 5: Solve for x
   x = 38,001,603,600/127,656
6. Step 6: Final answer
   x = 297,687.56