Finding the Third Proportional to 213,741 and 333,546.75

Step by Step Solution

1. Step 1: Write the proportion equation
   213,741 : 333,546.75 = 333,546.75 : x
2. Step 2: Convert to fraction form
   213,741/333,546.75 = 333,546.75/x
3. Step 3: Cross multiply
   213,741x = 333,546.75 × 333,546.75
4. Step 4: Simplify right side
   213,741x = 111,253,434,435.56
5. Step 5: Solve for x
   x = 111,253,434,435.56/213,741
6. Step 6: Final answer
   x = 520,505.82