Finding the Third Proportional to 90,790 and 194,696

Step by Step Solution

1. Step 1: Write the proportion equation
   90,790 : 194,696 = 194,696 : x
2. Step 2: Convert to fraction form
   90,790/194,696 = 194,696/x
3. Step 3: Cross multiply
   90,790x = 194,696 × 194,696
4. Step 4: Simplify right side
   90,790x = 37,906,532,416
5. Step 5: Solve for x
   x = 37,906,532,416/90,790
6. Step 6: Final answer
   x = 417,518.81