Finding the Third Proportional to 90,687 and 194,478

Step by Step Solution

1. Step 1: Write the proportion equation
   90,687 : 194,478 = 194,478 : x
2. Step 2: Convert to fraction form
   90,687/194,478 = 194,478/x
3. Step 3: Cross multiply
   90,687x = 194,478 × 194,478
4. Step 4: Simplify right side
   90,687x = 37,821,692,484
5. Step 5: Solve for x
   x = 37,821,692,484/90,687
6. Step 6: Final answer
   x = 417,057.49