Finding the Third Proportional to 42,195 and 91,950

Step by Step Solution

1. Step 1: Write the proportion equation
   42,195 : 91,950 = 91,950 : x
2. Step 2: Convert to fraction form
   42,195/91,950 = 91,950/x
3. Step 3: Cross multiply
   42,195x = 91,950 × 91,950
4. Step 4: Simplify right side
   42,195x = 8,454,802,500
5. Step 5: Solve for x
   x = 8,454,802,500/42,195
6. Step 6: Final answer
   x = 200,374.51