Finding the Third Proportional to 89,654 and 121,824

Step by Step Solution

1. Step 1: Write the proportion equation
   89,654 : 121,824 = 121,824 : x
2. Step 2: Convert to fraction form
   89,654/121,824 = 121,824/x
3. Step 3: Cross multiply
   89,654x = 121,824 × 121,824
4. Step 4: Simplify right side
   89,654x = 14,841,086,976
5. Step 5: Solve for x
   x = 14,841,086,976/89,654
6. Step 6: Final answer
   x = 165,537.37