Finding the Third Proportional to 90,636 and 194,397

Step by Step Solution

1. Step 1: Write the proportion equation
   90,636 : 194,397 = 194,397 : x
2. Step 2: Convert to fraction form
   90,636/194,397 = 194,397/x
3. Step 3: Cross multiply
   90,636x = 194,397 × 194,397
4. Step 4: Simplify right side
   90,636x = 37,790,193,609
5. Step 5: Solve for x
   x = 37,790,193,609/90,636
6. Step 6: Final answer
   x = 416,944.63