Finding the Third Proportional to 323,916 and 508,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,916 : 508,081.50 = 508,081.50 : x
2. Step 2: Convert to fraction form
   323,916/508,081.50 = 508,081.50/x
3. Step 3: Cross multiply
   323,916x = 508,081.50 × 508,081.50
4. Step 4: Simplify right side
   323,916x = 258,146,810,642.25
5. Step 5: Solve for x
   x = 258,146,810,642.25/323,916
6. Step 6: Final answer
   x = 796,956.03