Finding the Third Proportional to 42,284 and 90,198

Step by Step Solution

1. Step 1: Write the proportion equation
   42,284 : 90,198 = 90,198 : x
2. Step 2: Convert to fraction form
   42,284/90,198 = 90,198/x
3. Step 3: Cross multiply
   42,284x = 90,198 × 90,198
4. Step 4: Simplify right side
   42,284x = 8,135,679,204
5. Step 5: Solve for x
   x = 8,135,679,204/42,284
6. Step 6: Final answer
   x = 192,405.62