Finding the Third Proportional to 199,546.50 and 309,814

Step by Step Solution

1. Step 1: Write the proportion equation
   199,546.50 : 309,814 = 309,814 : x
2. Step 2: Convert to fraction form
   199,546.50/309,814 = 309,814/x
3. Step 3: Cross multiply
   199,546.50x = 309,814 × 309,814
4. Step 4: Simplify right side
   199,546.50x = 95,984,714,596
5. Step 5: Solve for x
   x = 95,984,714,596/199,546.50
6. Step 6: Final answer
   x = 481,014.27