Finding the Third Proportional to 149,871 and 327,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,871 : 327,199.50 = 327,199.50 : x
2. Step 2: Convert to fraction form
   149,871/327,199.50 = 327,199.50/x
3. Step 3: Cross multiply
   149,871x = 327,199.50 × 327,199.50
4. Step 4: Simplify right side
   149,871x = 107,059,512,800.25
5. Step 5: Solve for x
   x = 107,059,512,800.25/149,871
6. Step 6: Final answer
   x = 714,344.42