Finding the Third Proportional to 96,298 and 144,738

Step by Step Solution

1. Step 1: Write the proportion equation
   96,298 : 144,738 = 144,738 : x
2. Step 2: Convert to fraction form
   96,298/144,738 = 144,738/x
3. Step 3: Cross multiply
   96,298x = 144,738 × 144,738
4. Step 4: Simplify right side
   96,298x = 20,949,088,644
5. Step 5: Solve for x
   x = 20,949,088,644/96,298
6. Step 6: Final answer
   x = 217,544.38