Finding the Third Proportional to 90,724 and 194,564

Step by Step Solution

1. Step 1: Write the proportion equation
   90,724 : 194,564 = 194,564 : x
2. Step 2: Convert to fraction form
   90,724/194,564 = 194,564/x
3. Step 3: Cross multiply
   90,724x = 194,564 × 194,564
4. Step 4: Simplify right side
   90,724x = 37,855,150,096
5. Step 5: Solve for x
   x = 37,855,150,096/90,724
6. Step 6: Final answer
   x = 417,256.18