Finding the Third Proportional to 213,742 and 333,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,742 : 333,548.50 = 333,548.50 : x
2. Step 2: Convert to fraction form
   213,742/333,548.50 = 333,548.50/x
3. Step 3: Cross multiply
   213,742x = 333,548.50 × 333,548.50
4. Step 4: Simplify right side
   213,742x = 111,254,601,852.25
5. Step 5: Solve for x
   x = 111,254,601,852.25/213,742
6. Step 6: Final answer
   x = 520,508.85