Finding the Third Proportional to 124,096 and 166,460

Step by Step Solution

1. Step 1: Write the proportion equation
   124,096 : 166,460 = 166,460 : x
2. Step 2: Convert to fraction form
   124,096/166,460 = 166,460/x
3. Step 3: Cross multiply
   124,096x = 166,460 × 166,460
4. Step 4: Simplify right side
   124,096x = 27,708,931,600
5. Step 5: Solve for x
   x = 27,708,931,600/124,096
6. Step 6: Final answer
   x = 223,286.26