Finding the Third Proportional to 213,740 and 333,550

Step by Step Solution

1. Step 1: Write the proportion equation
   213,740 : 333,550 = 333,550 : x
2. Step 2: Convert to fraction form
   213,740/333,550 = 333,550/x
3. Step 3: Cross multiply
   213,740x = 333,550 × 333,550
4. Step 4: Simplify right side
   213,740x = 111,255,602,500
5. Step 5: Solve for x
   x = 111,255,602,500/213,740
6. Step 6: Final answer
   x = 520,518.40