Finding the Third Proportional to 90,531 and 194,931

Step by Step Solution

1. Step 1: Write the proportion equation
   90,531 : 194,931 = 194,931 : x
2. Step 2: Convert to fraction form
   90,531/194,931 = 194,931/x
3. Step 3: Cross multiply
   90,531x = 194,931 × 194,931
4. Step 4: Simplify right side
   90,531x = 37,998,094,761
5. Step 5: Solve for x
   x = 37,998,094,761/90,531
6. Step 6: Final answer
   x = 419,724.68