Finding the Third Proportional to 166,766 and 356,860

Step by Step Solution

1. Step 1: Write the proportion equation
   166,766 : 356,860 = 356,860 : x
2. Step 2: Convert to fraction form
   166,766/356,860 = 356,860/x
3. Step 3: Cross multiply
   166,766x = 356,860 × 356,860
4. Step 4: Simplify right side
   166,766x = 127,349,059,600
5. Step 5: Solve for x
   x = 127,349,059,600/166,766
6. Step 6: Final answer
   x = 763,639.23