Finding the Third Proportional to 123,144 and 165,276

Step by Step Solution

1. Step 1: Write the proportion equation
   123,144 : 165,276 = 165,276 : x
2. Step 2: Convert to fraction form
   123,144/165,276 = 165,276/x
3. Step 3: Cross multiply
   123,144x = 165,276 × 165,276
4. Step 4: Simplify right side
   123,144x = 27,316,156,176
5. Step 5: Solve for x
   x = 27,316,156,176/123,144
6. Step 6: Final answer
   x = 221,822.88