Finding the Third Proportional to 314,451 and 498,163.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,451 : 498,163.50 = 498,163.50 : x
2. Step 2: Convert to fraction form
   314,451/498,163.50 = 498,163.50/x
3. Step 3: Cross multiply
   314,451x = 498,163.50 × 498,163.50
4. Step 4: Simplify right side
   314,451x = 248,166,872,732.25
5. Step 5: Solve for x
   x = 248,166,872,732.25/314,451
6. Step 6: Final answer
   x = 789,206.82