Finding the Third Proportional to 108,822 and 166,476

Step by Step Solution

1. Step 1: Write the proportion equation
   108,822 : 166,476 = 166,476 : x
2. Step 2: Convert to fraction form
   108,822/166,476 = 166,476/x
3. Step 3: Cross multiply
   108,822x = 166,476 × 166,476
4. Step 4: Simplify right side
   108,822x = 27,714,258,576
5. Step 5: Solve for x
   x = 27,714,258,576/108,822
6. Step 6: Final answer
   x = 254,675.14