Finding the Third Proportional to 127,128 and 194,112

Step by Step Solution

1. Step 1: Write the proportion equation
   127,128 : 194,112 = 194,112 : x
2. Step 2: Convert to fraction form
   127,128/194,112 = 194,112/x
3. Step 3: Cross multiply
   127,128x = 194,112 × 194,112
4. Step 4: Simplify right side
   127,128x = 37,679,468,544
5. Step 5: Solve for x
   x = 37,679,468,544/127,128
6. Step 6: Final answer
   x = 296,390.00