Finding the Third Proportional to 179,871 and 384,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,871 : 384,664.50 = 384,664.50 : x
2. Step 2: Convert to fraction form
   179,871/384,664.50 = 384,664.50/x
3. Step 3: Cross multiply
   179,871x = 384,664.50 × 384,664.50
4. Step 4: Simplify right side
   179,871x = 147,966,777,560.25
5. Step 5: Solve for x
   x = 147,966,777,560.25/179,871
6. Step 6: Final answer
   x = 822,627.20