Finding the Third Proportional to 78,888 and 116,016

Step by Step Solution

1. Step 1: Write the proportion equation
   78,888 : 116,016 = 116,016 : x
2. Step 2: Convert to fraction form
   78,888/116,016 = 116,016/x
3. Step 3: Cross multiply
   78,888x = 116,016 × 116,016
4. Step 4: Simplify right side
   78,888x = 13,459,712,256
5. Step 5: Solve for x
   x = 13,459,712,256/78,888
6. Step 6: Final answer
   x = 170,617.99