Finding the Third Proportional to 199,658 and 301,566

Step by Step Solution

1. Step 1: Write the proportion equation
   199,658 : 301,566 = 301,566 : x
2. Step 2: Convert to fraction form
   199,658/301,566 = 301,566/x
3. Step 3: Cross multiply
   199,658x = 301,566 × 301,566
4. Step 4: Simplify right side
   199,658x = 90,942,052,356
5. Step 5: Solve for x
   x = 90,942,052,356/199,658
6. Step 6: Final answer
   x = 455,489.15