Finding the Third Proportional to 42,065 and 92,665

Step by Step Solution

1. Step 1: Write the proportion equation
   42,065 : 92,665 = 92,665 : x
2. Step 2: Convert to fraction form
   42,065/92,665 = 92,665/x
3. Step 3: Cross multiply
   42,065x = 92,665 × 92,665
4. Step 4: Simplify right side
   42,065x = 8,586,802,225
5. Step 5: Solve for x
   x = 8,586,802,225/42,065
6. Step 6: Final answer
   x = 204,131.75