Finding the Third Proportional to 42,072 and 89,337

Step by Step Solution

1. Step 1: Write the proportion equation
   42,072 : 89,337 = 89,337 : x
2. Step 2: Convert to fraction form
   42,072/89,337 = 89,337/x
3. Step 3: Cross multiply
   42,072x = 89,337 × 89,337
4. Step 4: Simplify right side
   42,072x = 7,981,099,569
5. Step 5: Solve for x
   x = 7,981,099,569/42,072
6. Step 6: Final answer
   x = 189,700.98