Finding the Third Proportional to 179,982 and 382,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,982 : 382,153.50 = 382,153.50 : x
2. Step 2: Convert to fraction form
   179,982/382,153.50 = 382,153.50/x
3. Step 3: Cross multiply
   179,982x = 382,153.50 × 382,153.50
4. Step 4: Simplify right side
   179,982x = 146,041,297,562.25
5. Step 5: Solve for x
   x = 146,041,297,562.25/179,982
6. Step 6: Final answer
   x = 811,421.68