Finding the Third Proportional to 90,072 and 194,104

Step by Step Solution

1. Step 1: Write the proportion equation
   90,072 : 194,104 = 194,104 : x
2. Step 2: Convert to fraction form
   90,072/194,104 = 194,104/x
3. Step 3: Cross multiply
   90,072x = 194,104 × 194,104
4. Step 4: Simplify right side
   90,072x = 37,676,362,816
5. Step 5: Solve for x
   x = 37,676,362,816/90,072
6. Step 6: Final answer
   x = 418,291.62