Finding the Third Proportional to 336,866 and 508,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   336,866 : 508,809.50 = 508,809.50 : x
2. Step 2: Convert to fraction form
   336,866/508,809.50 = 508,809.50/x
3. Step 3: Cross multiply
   336,866x = 508,809.50 × 508,809.50
4. Step 4: Simplify right side
   336,866x = 258,887,107,290.25
5. Step 5: Solve for x
   x = 258,887,107,290.25/336,866
6. Step 6: Final answer
   x = 768,516.58