Finding the Third Proportional to 89,660 and 194,164

Step by Step Solution

1. Step 1: Write the proportion equation
   89,660 : 194,164 = 194,164 : x
2. Step 2: Convert to fraction form
   89,660/194,164 = 194,164/x
3. Step 3: Cross multiply
   89,660x = 194,164 × 194,164
4. Step 4: Simplify right side
   89,660x = 37,699,658,896
5. Step 5: Solve for x
   x = 37,699,658,896/89,660
6. Step 6: Final answer
   x = 420,473.55