Finding the Third Proportional to 90,495 and 194,799

Step by Step Solution

1. Step 1: Write the proportion equation
   90,495 : 194,799 = 194,799 : x
2. Step 2: Convert to fraction form
   90,495/194,799 = 194,799/x
3. Step 3: Cross multiply
   90,495x = 194,799 × 194,799
4. Step 4: Simplify right side
   90,495x = 37,946,650,401
5. Step 5: Solve for x
   x = 37,946,650,401/90,495
6. Step 6: Final answer
   x = 419,323.17