Finding the Third Proportional to 96,924 and 144,801

Step by Step Solution

1. Step 1: Write the proportion equation
   96,924 : 144,801 = 144,801 : x
2. Step 2: Convert to fraction form
   96,924/144,801 = 144,801/x
3. Step 3: Cross multiply
   96,924x = 144,801 × 144,801
4. Step 4: Simplify right side
   96,924x = 20,967,329,601
5. Step 5: Solve for x
   x = 20,967,329,601/96,924
6. Step 6: Final answer
   x = 216,327.53