Finding the Third Proportional to 42,022 and 90,416

Step by Step Solution

1. Step 1: Write the proportion equation
   42,022 : 90,416 = 90,416 : x
2. Step 2: Convert to fraction form
   42,022/90,416 = 90,416/x
3. Step 3: Cross multiply
   42,022x = 90,416 × 90,416
4. Step 4: Simplify right side
   42,022x = 8,175,053,056
5. Step 5: Solve for x
   x = 8,175,053,056/42,022
6. Step 6: Final answer
   x = 194,542.22