Finding the Third Proportional to 52,824 and 116,016

Step by Step Solution

1. Step 1: Write the proportion equation
   52,824 : 116,016 = 116,016 : x
2. Step 2: Convert to fraction form
   52,824/116,016 = 116,016/x
3. Step 3: Cross multiply
   52,824x = 116,016 × 116,016
4. Step 4: Simplify right side
   52,824x = 13,459,712,256
5. Step 5: Solve for x
   x = 13,459,712,256/52,824
6. Step 6: Final answer
   x = 254,802.97