Finding the Third Proportional to 166,777 and 385,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,777 : 385,766.50 = 385,766.50 : x
2. Step 2: Convert to fraction form
   166,777/385,766.50 = 385,766.50/x
3. Step 3: Cross multiply
   166,777x = 385,766.50 × 385,766.50
4. Step 4: Simplify right side
   166,777x = 148,815,792,522.25
5. Step 5: Solve for x
   x = 148,815,792,522.25/166,777
6. Step 6: Final answer
   x = 892,304.05