Finding the Third Proportional to 323,764 and 485,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,764 : 485,643.50 = 485,643.50 : x
2. Step 2: Convert to fraction form
   323,764/485,643.50 = 485,643.50/x
3. Step 3: Cross multiply
   323,764x = 485,643.50 × 485,643.50
4. Step 4: Simplify right side
   323,764x = 235,849,609,092.25
5. Step 5: Solve for x
   x = 235,849,609,092.25/323,764
6. Step 6: Final answer
   x = 728,461.50