Finding the Third Proportional to 111,176 and 166,460

Step by Step Solution

1. Step 1: Write the proportion equation
   111,176 : 166,460 = 166,460 : x
2. Step 2: Convert to fraction form
   111,176/166,460 = 166,460/x
3. Step 3: Cross multiply
   111,176x = 166,460 × 166,460
4. Step 4: Simplify right side
   111,176x = 27,708,931,600
5. Step 5: Solve for x
   x = 27,708,931,600/111,176
6. Step 6: Final answer
   x = 249,234.83