Finding the Third Proportional to 89,413 and 194,204

Step by Step Solution

1. Step 1: Write the proportion equation
   89,413 : 194,204 = 194,204 : x
2. Step 2: Convert to fraction form
   89,413/194,204 = 194,204/x
3. Step 3: Cross multiply
   89,413x = 194,204 × 194,204
4. Step 4: Simplify right side
   89,413x = 37,715,193,616
5. Step 5: Solve for x
   x = 37,715,193,616/89,413
6. Step 6: Final answer
   x = 421,808.84