Finding the Third Proportional to 90,074 and 194,108

Step by Step Solution

1. Step 1: Write the proportion equation
   90,074 : 194,108 = 194,108 : x
2. Step 2: Convert to fraction form
   90,074/194,108 = 194,108/x
3. Step 3: Cross multiply
   90,074x = 194,108 × 194,108
4. Step 4: Simplify right side
   90,074x = 37,677,915,664
5. Step 5: Solve for x
   x = 37,677,915,664/90,074
6. Step 6: Final answer
   x = 418,299.57