Finding the Third Proportional to 89,410 and 194,198

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410 : 194,198 = 194,198 : x
2. Step 2: Convert to fraction form
   89,410/194,198 = 194,198/x
3. Step 3: Cross multiply
   89,410x = 194,198 × 194,198
4. Step 4: Simplify right side
   89,410x = 37,712,863,204
5. Step 5: Solve for x
   x = 37,712,863,204/89,410
6. Step 6: Final answer
   x = 421,796.93