Finding the Third Proportional to 78,796 and 114,824

Step by Step Solution

1. Step 1: Write the proportion equation
   78,796 : 114,824 = 114,824 : x
2. Step 2: Convert to fraction form
   78,796/114,824 = 114,824/x
3. Step 3: Cross multiply
   78,796x = 114,824 × 114,824
4. Step 4: Simplify right side
   78,796x = 13,184,550,976
5. Step 5: Solve for x
   x = 13,184,550,976/78,796
6. Step 6: Final answer
   x = 167,325.13