Finding the Third Proportional to 96,648 and 144,522

Step by Step Solution

1. Step 1: Write the proportion equation
   96,648 : 144,522 = 144,522 : x
2. Step 2: Convert to fraction form
   96,648/144,522 = 144,522/x
3. Step 3: Cross multiply
   96,648x = 144,522 × 144,522
4. Step 4: Simplify right side
   96,648x = 20,886,608,484
5. Step 5: Solve for x
   x = 20,886,608,484/96,648
6. Step 6: Final answer
   x = 216,110.10