Finding the Third Proportional to 90,780 and 194,676

Step by Step Solution

1. Step 1: Write the proportion equation
   90,780 : 194,676 = 194,676 : x
2. Step 2: Convert to fraction form
   90,780/194,676 = 194,676/x
3. Step 3: Cross multiply
   90,780x = 194,676 × 194,676
4. Step 4: Simplify right side
   90,780x = 37,898,744,976
5. Step 5: Solve for x
   x = 37,898,744,976/90,780
6. Step 6: Final answer
   x = 417,479.01