Finding the Third Proportional to 323,780 and 485,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,780 : 485,670.50 = 485,670.50 : x
2. Step 2: Convert to fraction form
   323,780/485,670.50 = 485,670.50/x
3. Step 3: Cross multiply
   323,780x = 485,670.50 × 485,670.50
4. Step 4: Simplify right side
   323,780x = 235,875,834,570.25
5. Step 5: Solve for x
   x = 235,875,834,570.25/323,780
6. Step 6: Final answer
   x = 728,506.50