Finding the Third Proportional to 39,456 and 83,808

Step by Step Solution

1. Step 1: Write the proportion equation
   39,456 : 83,808 = 83,808 : x
2. Step 2: Convert to fraction form
   39,456/83,808 = 83,808/x
3. Step 3: Cross multiply
   39,456x = 83,808 × 83,808
4. Step 4: Simplify right side
   39,456x = 7,023,780,864
5. Step 5: Solve for x
   x = 7,023,780,864/39,456
6. Step 6: Final answer
   x = 178,015.53