Finding the Third Proportional to 166,288 and 253,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,288 : 253,583.50 = 253,583.50 : x
2. Step 2: Convert to fraction form
   166,288/253,583.50 = 253,583.50/x
3. Step 3: Cross multiply
   166,288x = 253,583.50 × 253,583.50
4. Step 4: Simplify right side
   166,288x = 64,304,591,472.25
5. Step 5: Solve for x
   x = 64,304,591,472.25/166,288
6. Step 6: Final answer
   x = 386,706.15