Finding the Third Proportional to 105,408 and 234,192

Step by Step Solution

1. Step 1: Write the proportion equation
   105,408 : 234,192 = 234,192 : x
2. Step 2: Convert to fraction form
   105,408/234,192 = 234,192/x
3. Step 3: Cross multiply
   105,408x = 234,192 × 234,192
4. Step 4: Simplify right side
   105,408x = 54,845,892,864
5. Step 5: Solve for x
   x = 54,845,892,864/105,408
6. Step 6: Final answer
   x = 520,320.02