Finding the Third Proportional to 355,500 and 503,020

Step by Step Solution

1. Step 1: Write the proportion equation
   355,500 : 503,020 = 503,020 : x
2. Step 2: Convert to fraction form
   355,500/503,020 = 503,020/x
3. Step 3: Cross multiply
   355,500x = 503,020 × 503,020
4. Step 4: Simplify right side
   355,500x = 253,029,120,400
5. Step 5: Solve for x
   x = 253,029,120,400/355,500
6. Step 6: Final answer
   x = 711,755.61