Finding the Third Proportional to 339,410.50 and 503,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   339,410.50 : 503,241.50 = 503,241.50 : x
2. Step 2: Convert to fraction form
   339,410.50/503,241.50 = 503,241.50/x
3. Step 3: Cross multiply
   339,410.50x = 503,241.50 × 503,241.50
4. Step 4: Simplify right side
   339,410.50x = 253,252,007,322.25
5. Step 5: Solve for x
   x = 253,252,007,322.25/339,410.50
6. Step 6: Final answer
   x = 746,152.54