Finding the Third Proportional to 364,341 and 509,488

Step by Step Solution

1. Step 1: Write the proportion equation
   364,341 : 509,488 = 509,488 : x
2. Step 2: Convert to fraction form
   364,341/509,488 = 509,488/x
3. Step 3: Cross multiply
   364,341x = 509,488 × 509,488
4. Step 4: Simplify right side
   364,341x = 259,578,022,144
5. Step 5: Solve for x
   x = 259,578,022,144/364,341
6. Step 6: Final answer
   x = 712,458.99