Finding the Third Proportional to 213,746 and 333,558

Step by Step Solution

1. Step 1: Write the proportion equation
   213,746 : 333,558 = 333,558 : x
2. Step 2: Convert to fraction form
   213,746/333,558 = 333,558/x
3. Step 3: Cross multiply
   213,746x = 333,558 × 333,558
4. Step 4: Simplify right side
   213,746x = 111,260,939,364
5. Step 5: Solve for x
   x = 111,260,939,364/213,746
6. Step 6: Final answer
   x = 520,528.76