Finding the Third Proportional to 213,742.50 and 333,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,742.50 : 333,553.50 = 333,553.50 : x
2. Step 2: Convert to fraction form
   213,742.50/333,553.50 = 333,553.50/x
3. Step 3: Cross multiply
   213,742.50x = 333,553.50 × 333,553.50
4. Step 4: Simplify right side
   213,742.50x = 111,257,937,362.25
5. Step 5: Solve for x
   x = 111,257,937,362.25/213,742.50
6. Step 6: Final answer
   x = 520,523.23