Finding the Third Proportional to 106,228 and 144,340

Step by Step Solution

1. Step 1: Write the proportion equation
   106,228 : 144,340 = 144,340 : x
2. Step 2: Convert to fraction form
   106,228/144,340 = 144,340/x
3. Step 3: Cross multiply
   106,228x = 144,340 × 144,340
4. Step 4: Simplify right side
   106,228x = 20,834,035,600
5. Step 5: Solve for x
   x = 20,834,035,600/106,228
6. Step 6: Final answer
   x = 196,125.65