Finding the Third Proportional to 101,427 and 144,168

Step by Step Solution

1. Step 1: Write the proportion equation
   101,427 : 144,168 = 144,168 : x
2. Step 2: Convert to fraction form
   101,427/144,168 = 144,168/x
3. Step 3: Cross multiply
   101,427x = 144,168 × 144,168
4. Step 4: Simplify right side
   101,427x = 20,784,412,224
5. Step 5: Solve for x
   x = 20,784,412,224/101,427
6. Step 6: Final answer
   x = 204,919.92