Finding the Third Proportional to 140,928 and 191,952

Step by Step Solution

1. Step 1: Write the proportion equation
   140,928 : 191,952 = 191,952 : x
2. Step 2: Convert to fraction form
   140,928/191,952 = 191,952/x
3. Step 3: Cross multiply
   140,928x = 191,952 × 191,952
4. Step 4: Simplify right side
   140,928x = 36,845,570,304
5. Step 5: Solve for x
   x = 36,845,570,304/140,928
6. Step 6: Final answer
   x = 261,449.61