Finding the Third Proportional to 42,285 and 92,022

Step by Step Solution

1. Step 1: Write the proportion equation
   42,285 : 92,022 = 92,022 : x
2. Step 2: Convert to fraction form
   42,285/92,022 = 92,022/x
3. Step 3: Cross multiply
   42,285x = 92,022 × 92,022
4. Step 4: Simplify right side
   42,285x = 8,468,048,484
5. Step 5: Solve for x
   x = 8,468,048,484/42,285
6. Step 6: Final answer
   x = 200,261.29