Finding the Third Proportional to 42,078 and 90,716

Step by Step Solution

1. Step 1: Write the proportion equation
   42,078 : 90,716 = 90,716 : x
2. Step 2: Convert to fraction form
   42,078/90,716 = 90,716/x
3. Step 3: Cross multiply
   42,078x = 90,716 × 90,716
4. Step 4: Simplify right side
   42,078x = 8,229,392,656
5. Step 5: Solve for x
   x = 8,229,392,656/42,078
6. Step 6: Final answer
   x = 195,574.71