Finding the Third Proportional to 331,784 and 503,820

Step by Step Solution

1. Step 1: Write the proportion equation
   331,784 : 503,820 = 503,820 : x
2. Step 2: Convert to fraction form
   331,784/503,820 = 503,820/x
3. Step 3: Cross multiply
   331,784x = 503,820 × 503,820
4. Step 4: Simplify right side
   331,784x = 253,834,592,400
5. Step 5: Solve for x
   x = 253,834,592,400/331,784
6. Step 6: Final answer
   x = 765,059.78