Finding the Third Proportional to 213,729.75 and 333,534

Step by Step Solution

1. Step 1: Write the proportion equation
   213,729.75 : 333,534 = 333,534 : x
2. Step 2: Convert to fraction form
   213,729.75/333,534 = 333,534/x
3. Step 3: Cross multiply
   213,729.75x = 333,534 × 333,534
4. Step 4: Simplify right side
   213,729.75x = 111,244,929,156
5. Step 5: Solve for x
   x = 111,244,929,156/213,729.75
6. Step 6: Final answer
   x = 520,493.42