Finding the Third Proportional to 210,477 and 320,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,477 : 320,968.50 = 320,968.50 : x
2. Step 2: Convert to fraction form
   210,477/320,968.50 = 320,968.50/x
3. Step 3: Cross multiply
   210,477x = 320,968.50 × 320,968.50
4. Step 4: Simplify right side
   210,477x = 103,020,777,992.25
5. Step 5: Solve for x
   x = 103,020,777,992.25/210,477
6. Step 6: Final answer
   x = 489,463.35