Finding the Third Proportional to 213,984 and 326,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,984 : 326,686.50 = 326,686.50 : x
2. Step 2: Convert to fraction form
   213,984/326,686.50 = 326,686.50/x
3. Step 3: Cross multiply
   213,984x = 326,686.50 × 326,686.50
4. Step 4: Simplify right side
   213,984x = 106,724,069,282.25
5. Step 5: Solve for x
   x = 106,724,069,282.25/213,984
6. Step 6: Final answer
   x = 498,747.89