Finding the Third Proportional to 328,401 and 507,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   328,401 : 507,100.50 = 507,100.50 : x
2. Step 2: Convert to fraction form
   328,401/507,100.50 = 507,100.50/x
3. Step 3: Cross multiply
   328,401x = 507,100.50 × 507,100.50
4. Step 4: Simplify right side
   328,401x = 257,150,917,100.25
5. Step 5: Solve for x
   x = 257,150,917,100.25/328,401
6. Step 6: Final answer
   x = 783,039.39