Finding the Third Proportional to 79,824 and 116,224

Step by Step Solution

1. Step 1: Write the proportion equation
   79,824 : 116,224 = 116,224 : x
2. Step 2: Convert to fraction form
   79,824/116,224 = 116,224/x
3. Step 3: Cross multiply
   79,824x = 116,224 × 116,224
4. Step 4: Simplify right side
   79,824x = 13,508,018,176
5. Step 5: Solve for x
   x = 13,508,018,176/79,824
6. Step 6: Final answer
   x = 169,222.52