Finding the Third Proportional to 82,919.25 and 194,922

Step by Step Solution

1. Step 1: Write the proportion equation
   82,919.25 : 194,922 = 194,922 : x
2. Step 2: Convert to fraction form
   82,919.25/194,922 = 194,922/x
3. Step 3: Cross multiply
   82,919.25x = 194,922 × 194,922
4. Step 4: Simplify right side
   82,919.25x = 37,994,586,084
5. Step 5: Solve for x
   x = 37,994,586,084/82,919.25
6. Step 6: Final answer
   x = 458,211.89