Finding the Third Proportional to 90,907 and 194,449

Step by Step Solution

1. Step 1: Write the proportion equation
   90,907 : 194,449 = 194,449 : x
2. Step 2: Convert to fraction form
   90,907/194,449 = 194,449/x
3. Step 3: Cross multiply
   90,907x = 194,449 × 194,449
4. Step 4: Simplify right side
   90,907x = 37,810,413,601
5. Step 5: Solve for x
   x = 37,810,413,601/90,907
6. Step 6: Final answer
   x = 415,924.12