Finding the Third Proportional to 106,327 and 144,466

Step by Step Solution

1. Step 1: Write the proportion equation
   106,327 : 144,466 = 144,466 : x
2. Step 2: Convert to fraction form
   106,327/144,466 = 144,466/x
3. Step 3: Cross multiply
   106,327x = 144,466 × 144,466
4. Step 4: Simplify right side
   106,327x = 20,870,425,156
5. Step 5: Solve for x
   x = 20,870,425,156/106,327
6. Step 6: Final answer
   x = 196,285.28