Finding the Third Proportional to 42,034 and 89,198

Step by Step Solution

1. Step 1: Write the proportion equation
   42,034 : 89,198 = 89,198 : x
2. Step 2: Convert to fraction form
   42,034/89,198 = 89,198/x
3. Step 3: Cross multiply
   42,034x = 89,198 × 89,198
4. Step 4: Simplify right side
   42,034x = 7,956,283,204
5. Step 5: Solve for x
   x = 7,956,283,204/42,034
6. Step 6: Final answer
   x = 189,282.09