Finding the Third Proportional to 89,135 and 194,262

Step by Step Solution

1. Step 1: Write the proportion equation
   89,135 : 194,262 = 194,262 : x
2. Step 2: Convert to fraction form
   89,135/194,262 = 194,262/x
3. Step 3: Cross multiply
   89,135x = 194,262 × 194,262
4. Step 4: Simplify right side
   89,135x = 37,737,724,644
5. Step 5: Solve for x
   x = 37,737,724,644/89,135
6. Step 6: Final answer
   x = 423,377.18