Finding the Third Proportional to 76,776 and 166,665

Step by Step Solution

1. Step 1: Write the proportion equation
   76,776 : 166,665 = 166,665 : x
2. Step 2: Convert to fraction form
   76,776/166,665 = 166,665/x
3. Step 3: Cross multiply
   76,776x = 166,665 × 166,665
4. Step 4: Simplify right side
   76,776x = 27,777,222,225
5. Step 5: Solve for x
   x = 27,777,222,225/76,776
6. Step 6: Final answer
   x = 361,795.64