Finding the Third Proportional to 76,860 and 166,008

Step by Step Solution

1. Step 1: Write the proportion equation
   76,860 : 166,008 = 166,008 : x
2. Step 2: Convert to fraction form
   76,860/166,008 = 166,008/x
3. Step 3: Cross multiply
   76,860x = 166,008 × 166,008
4. Step 4: Simplify right side
   76,860x = 27,558,656,064
5. Step 5: Solve for x
   x = 27,558,656,064/76,860
6. Step 6: Final answer
   x = 358,556.55