Finding the Third Proportional to 326,310 and 501,705

Step by Step Solution

1. Step 1: Write the proportion equation
   326,310 : 501,705 = 501,705 : x
2. Step 2: Convert to fraction form
   326,310/501,705 = 501,705/x
3. Step 3: Cross multiply
   326,310x = 501,705 × 501,705
4. Step 4: Simplify right side
   326,310x = 251,707,907,025
5. Step 5: Solve for x
   x = 251,707,907,025/326,310
6. Step 6: Final answer
   x = 771,376.63