Finding the Third Proportional to 213,743 and 333,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,743 : 333,554.50 = 333,554.50 : x
2. Step 2: Convert to fraction form
   213,743/333,554.50 = 333,554.50/x
3. Step 3: Cross multiply
   213,743x = 333,554.50 × 333,554.50
4. Step 4: Simplify right side
   213,743x = 111,258,604,470.25
5. Step 5: Solve for x
   x = 111,258,604,470.25/213,743
6. Step 6: Final answer
   x = 520,525.14