Finding the Third Proportional to 90,498 and 194,871

Step by Step Solution

1. Step 1: Write the proportion equation
   90,498 : 194,871 = 194,871 : x
2. Step 2: Convert to fraction form
   90,498/194,871 = 194,871/x
3. Step 3: Cross multiply
   90,498x = 194,871 × 194,871
4. Step 4: Simplify right side
   90,498x = 37,974,706,641
5. Step 5: Solve for x
   x = 37,974,706,641/90,498
6. Step 6: Final answer
   x = 419,619.29