Finding the Third Proportional to 70,848 and 166,752

Step by Step Solution

1. Step 1: Write the proportion equation
   70,848 : 166,752 = 166,752 : x
2. Step 2: Convert to fraction form
   70,848/166,752 = 166,752/x
3. Step 3: Cross multiply
   70,848x = 166,752 × 166,752
4. Step 4: Simplify right side
   70,848x = 27,806,229,504
5. Step 5: Solve for x
   x = 27,806,229,504/70,848
6. Step 6: Final answer
   x = 392,477.27