Finding the Third Proportional to 194,564 and 300,478

Step by Step Solution

1. Step 1: Write the proportion equation
   194,564 : 300,478 = 300,478 : x
2. Step 2: Convert to fraction form
   194,564/300,478 = 300,478/x
3. Step 3: Cross multiply
   194,564x = 300,478 × 300,478
4. Step 4: Simplify right side
   194,564x = 90,287,028,484
5. Step 5: Solve for x
   x = 90,287,028,484/194,564
6. Step 6: Final answer
   x = 464,047.97