Finding the Third Proportional to 42,020 and 90,816

Step by Step Solution

1. Step 1: Write the proportion equation
   42,020 : 90,816 = 90,816 : x
2. Step 2: Convert to fraction form
   42,020/90,816 = 90,816/x
3. Step 3: Cross multiply
   42,020x = 90,816 × 90,816
4. Step 4: Simplify right side
   42,020x = 8,247,545,856
5. Step 5: Solve for x
   x = 8,247,545,856/42,020
6. Step 6: Final answer
   x = 196,276.67