Finding the Third Proportional to 213,142 and 318,250.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,142 : 318,250.50 = 318,250.50 : x
2. Step 2: Convert to fraction form
   213,142/318,250.50 = 318,250.50/x
3. Step 3: Cross multiply
   213,142x = 318,250.50 × 318,250.50
4. Step 4: Simplify right side
   213,142x = 101,283,380,750.25
5. Step 5: Solve for x
   x = 101,283,380,750.25/213,142
6. Step 6: Final answer
   x = 475,192.04