Finding the Third Proportional to 337,206 and 508,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   337,206 : 508,036.50 = 508,036.50 : x
2. Step 2: Convert to fraction form
   337,206/508,036.50 = 508,036.50/x
3. Step 3: Cross multiply
   337,206x = 508,036.50 × 508,036.50
4. Step 4: Simplify right side
   337,206x = 258,101,085,332.25
5. Step 5: Solve for x
   x = 258,101,085,332.25/337,206
6. Step 6: Final answer
   x = 765,410.71