Finding the Third Proportional to 111,789 and 166,164

Step by Step Solution

1. Step 1: Write the proportion equation
   111,789 : 166,164 = 166,164 : x
2. Step 2: Convert to fraction form
   111,789/166,164 = 166,164/x
3. Step 3: Cross multiply
   111,789x = 166,164 × 166,164
4. Step 4: Simplify right side
   111,789x = 27,610,474,896
5. Step 5: Solve for x
   x = 27,610,474,896/111,789
6. Step 6: Final answer
   x = 246,987.40