Finding the Third Proportional to 33,408 and 78,912

Step by Step Solution

1. Step 1: Write the proportion equation
   33,408 : 78,912 = 78,912 : x
2. Step 2: Convert to fraction form
   33,408/78,912 = 78,912/x
3. Step 3: Cross multiply
   33,408x = 78,912 × 78,912
4. Step 4: Simplify right side
   33,408x = 6,227,103,744
5. Step 5: Solve for x
   x = 6,227,103,744/33,408
6. Step 6: Final answer
   x = 186,395.59