Finding the Third Proportional to 127,848 and 191,040

Step by Step Solution

1. Step 1: Write the proportion equation
   127,848 : 191,040 = 191,040 : x
2. Step 2: Convert to fraction form
   127,848/191,040 = 191,040/x
3. Step 3: Cross multiply
   127,848x = 191,040 × 191,040
4. Step 4: Simplify right side
   127,848x = 36,496,281,600
5. Step 5: Solve for x
   x = 36,496,281,600/127,848
6. Step 6: Final answer
   x = 285,466.19