Finding the Third Proportional to 43,782 and 93,648

Step by Step Solution

1. Step 1: Write the proportion equation
   43,782 : 93,648 = 93,648 : x
2. Step 2: Convert to fraction form
   43,782/93,648 = 93,648/x
3. Step 3: Cross multiply
   43,782x = 93,648 × 93,648
4. Step 4: Simplify right side
   43,782x = 8,769,947,904
5. Step 5: Solve for x
   x = 8,769,947,904/43,782
6. Step 6: Final answer
   x = 200,309.44