Finding the Third Proportional to 198,410 and 299,404

Step by Step Solution

1. Step 1: Write the proportion equation
   198,410 : 299,404 = 299,404 : x
2. Step 2: Convert to fraction form
   198,410/299,404 = 299,404/x
3. Step 3: Cross multiply
   198,410x = 299,404 × 299,404
4. Step 4: Simplify right side
   198,410x = 89,642,755,216
5. Step 5: Solve for x
   x = 89,642,755,216/198,410
6. Step 6: Final answer
   x = 451,805.63