Finding the Third Proportional to 212,871 and 320,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,871 : 320,194.50 = 320,194.50 : x
2. Step 2: Convert to fraction form
   212,871/320,194.50 = 320,194.50/x
3. Step 3: Cross multiply
   212,871x = 320,194.50 × 320,194.50
4. Step 4: Simplify right side
   212,871x = 102,524,517,830.25
5. Step 5: Solve for x
   x = 102,524,517,830.25/212,871
6. Step 6: Final answer
   x = 481,627.45