Finding the Third Proportional to 90,032 and 194,020

Step by Step Solution

1. Step 1: Write the proportion equation
   90,032 : 194,020 = 194,020 : x
2. Step 2: Convert to fraction form
   90,032/194,020 = 194,020/x
3. Step 3: Cross multiply
   90,032x = 194,020 × 194,020
4. Step 4: Simplify right side
   90,032x = 37,643,760,400
5. Step 5: Solve for x
   x = 37,643,760,400/90,032
6. Step 6: Final answer
   x = 418,115.34