Finding the Third Proportional to 166,196 and 356,008

Step by Step Solution

1. Step 1: Write the proportion equation
   166,196 : 356,008 = 356,008 : x
2. Step 2: Convert to fraction form
   166,196/356,008 = 356,008/x
3. Step 3: Cross multiply
   166,196x = 356,008 × 356,008
4. Step 4: Simplify right side
   166,196x = 126,741,696,064
5. Step 5: Solve for x
   x = 126,741,696,064/166,196
6. Step 6: Final answer
   x = 762,603.77