Finding the Third Proportional to 76,729.50 and 166,740

Step by Step Solution

1. Step 1: Write the proportion equation
   76,729.50 : 166,740 = 166,740 : x
2. Step 2: Convert to fraction form
   76,729.50/166,740 = 166,740/x
3. Step 3: Cross multiply
   76,729.50x = 166,740 × 166,740
4. Step 4: Simplify right side
   76,729.50x = 27,802,227,600
5. Step 5: Solve for x
   x = 27,802,227,600/76,729.50
6. Step 6: Final answer
   x = 362,340.79