Finding the Third Proportional to 363,264 and 498,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,264 : 498,664.50 = 498,664.50 : x
2. Step 2: Convert to fraction form
   363,264/498,664.50 = 498,664.50/x
3. Step 3: Cross multiply
   363,264x = 498,664.50 × 498,664.50
4. Step 4: Simplify right side
   363,264x = 248,666,283,560.25
5. Step 5: Solve for x
   x = 248,666,283,560.25/363,264
6. Step 6: Final answer
   x = 684,533.24