Finding the Third Proportional to 213,736 and 333,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,736 : 333,543.50 = 333,543.50 : x
2. Step 2: Convert to fraction form
   213,736/333,543.50 = 333,543.50/x
3. Step 3: Cross multiply
   213,736x = 333,543.50 × 333,543.50
4. Step 4: Simplify right side
   213,736x = 111,251,266,392.25
5. Step 5: Solve for x
   x = 111,251,266,392.25/213,736
6. Step 6: Final answer
   x = 520,507.85