Finding the Third Proportional to 89,945 and 194,793

Step by Step Solution

1. Step 1: Write the proportion equation
   89,945 : 194,793 = 194,793 : x
2. Step 2: Convert to fraction form
   89,945/194,793 = 194,793/x
3. Step 3: Cross multiply
   89,945x = 194,793 × 194,793
4. Step 4: Simplify right side
   89,945x = 37,944,312,849
5. Step 5: Solve for x
   x = 37,944,312,849/89,945
6. Step 6: Final answer
   x = 421,861.28