Finding the Third Proportional to 52,536 and 116,736

Step by Step Solution

1. Step 1: Write the proportion equation
   52,536 : 116,736 = 116,736 : x
2. Step 2: Convert to fraction form
   52,536/116,736 = 116,736/x
3. Step 3: Cross multiply
   52,536x = 116,736 × 116,736
4. Step 4: Simplify right side
   52,536x = 13,627,293,696
5. Step 5: Solve for x
   x = 13,627,293,696/52,536
6. Step 6: Final answer
   x = 259,389.63