Finding the Third Proportional to 213,516 and 327,510

Step by Step Solution

1. Step 1: Write the proportion equation
   213,516 : 327,510 = 327,510 : x
2. Step 2: Convert to fraction form
   213,516/327,510 = 327,510/x
3. Step 3: Cross multiply
   213,516x = 327,510 × 327,510
4. Step 4: Simplify right side
   213,516x = 107,262,800,100
5. Step 5: Solve for x
   x = 107,262,800,100/213,516
6. Step 6: Final answer
   x = 502,364.23