Finding the Third Proportional to 117,915 and 166,684

Step by Step Solution

1. Step 1: Write the proportion equation
   117,915 : 166,684 = 166,684 : x
2. Step 2: Convert to fraction form
   117,915/166,684 = 166,684/x
3. Step 3: Cross multiply
   117,915x = 166,684 × 166,684
4. Step 4: Simplify right side
   117,915x = 27,783,555,856
5. Step 5: Solve for x
   x = 27,783,555,856/117,915
6. Step 6: Final answer
   x = 235,623.59