Finding the Third Proportional to 361,286 and 508,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   361,286 : 508,321.50 = 508,321.50 : x
2. Step 2: Convert to fraction form
   361,286/508,321.50 = 508,321.50/x
3. Step 3: Cross multiply
   361,286x = 508,321.50 × 508,321.50
4. Step 4: Simplify right side
   361,286x = 258,390,747,362.25
5. Step 5: Solve for x
   x = 258,390,747,362.25/361,286
6. Step 6: Final answer
   x = 715,197.23