Finding the Third Proportional to 101,492 and 144,253

Step by Step Solution

1. Step 1: Write the proportion equation
   101,492 : 144,253 = 144,253 : x
2. Step 2: Convert to fraction form
   101,492/144,253 = 144,253/x
3. Step 3: Cross multiply
   101,492x = 144,253 × 144,253
4. Step 4: Simplify right side
   101,492x = 20,808,928,009
5. Step 5: Solve for x
   x = 20,808,928,009/101,492
6. Step 6: Final answer
   x = 205,030.23