Finding the Third Proportional to 89,616 and 195,648

Step by Step Solution

1. Step 1: Write the proportion equation
   89,616 : 195,648 = 195,648 : x
2. Step 2: Convert to fraction form
   89,616/195,648 = 195,648/x
3. Step 3: Cross multiply
   89,616x = 195,648 × 195,648
4. Step 4: Simplify right side
   89,616x = 38,278,139,904
5. Step 5: Solve for x
   x = 38,278,139,904/89,616
6. Step 6: Final answer
   x = 427,135.11