Finding the Third Proportional to 90,922 and 194,479

Step by Step Solution

1. Step 1: Write the proportion equation
   90,922 : 194,479 = 194,479 : x
2. Step 2: Convert to fraction form
   90,922/194,479 = 194,479/x
3. Step 3: Cross multiply
   90,922x = 194,479 × 194,479
4. Step 4: Simplify right side
   90,922x = 37,822,081,441
5. Step 5: Solve for x
   x = 37,822,081,441/90,922
6. Step 6: Final answer
   x = 415,983.83