Finding the Third Proportional to 127,838 and 191,028

Step by Step Solution

1. Step 1: Write the proportion equation
   127,838 : 191,028 = 191,028 : x
2. Step 2: Convert to fraction form
   127,838/191,028 = 191,028/x
3. Step 3: Cross multiply
   127,838x = 191,028 × 191,028
4. Step 4: Simplify right side
   127,838x = 36,491,696,784
5. Step 5: Solve for x
   x = 36,491,696,784/127,838
6. Step 6: Final answer
   x = 285,452.66