Finding the Third Proportional to 123,648 and 167,952

Step by Step Solution

1. Step 1: Write the proportion equation
   123,648 : 167,952 = 167,952 : x
2. Step 2: Convert to fraction form
   123,648/167,952 = 167,952/x
3. Step 3: Cross multiply
   123,648x = 167,952 × 167,952
4. Step 4: Simplify right side
   123,648x = 28,207,874,304
5. Step 5: Solve for x
   x = 28,207,874,304/123,648
6. Step 6: Final answer
   x = 228,130.45