Finding the Third Proportional to 76,744.50 and 166,098

Step by Step Solution

1. Step 1: Write the proportion equation
   76,744.50 : 166,098 = 166,098 : x
2. Step 2: Convert to fraction form
   76,744.50/166,098 = 166,098/x
3. Step 3: Cross multiply
   76,744.50x = 166,098 × 166,098
4. Step 4: Simplify right side
   76,744.50x = 27,588,545,604
5. Step 5: Solve for x
   x = 27,588,545,604/76,744.50
6. Step 6: Final answer
   x = 359,485.64