Finding the Third Proportional to 107,311 and 166,008

Step by Step Solution

1. Step 1: Write the proportion equation
   107,311 : 166,008 = 166,008 : x
2. Step 2: Convert to fraction form
   107,311/166,008 = 166,008/x
3. Step 3: Cross multiply
   107,311x = 166,008 × 166,008
4. Step 4: Simplify right side
   107,311x = 27,558,656,064
5. Step 5: Solve for x
   x = 27,558,656,064/107,311
6. Step 6: Final answer
   x = 256,811.10