Finding the Third Proportional to 317,876 and 476,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   317,876 : 476,814.50 = 476,814.50 : x
2. Step 2: Convert to fraction form
   317,876/476,814.50 = 476,814.50/x
3. Step 3: Cross multiply
   317,876x = 476,814.50 × 476,814.50
4. Step 4: Simplify right side
   317,876x = 227,352,067,410.25
5. Step 5: Solve for x
   x = 227,352,067,410.25/317,876
6. Step 6: Final answer
   x = 715,222.50