Finding the Third Proportional to 127,019.25 and 194,921.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,019.25 : 194,921.25 = 194,921.25 : x
2. Step 2: Convert to fraction form
   127,019.25/194,921.25 = 194,921.25/x
3. Step 3: Cross multiply
   127,019.25x = 194,921.25 × 194,921.25
4. Step 4: Simplify right side
   127,019.25x = 37,994,293,701.56
5. Step 5: Solve for x
   x = 37,994,293,701.56/127,019.25
6. Step 6: Final answer
   x = 299,122.33