Finding the Third Proportional to 52,778 and 116,356

Step by Step Solution

1. Step 1: Write the proportion equation
   52,778 : 116,356 = 116,356 : x
2. Step 2: Convert to fraction form
   52,778/116,356 = 116,356/x
3. Step 3: Cross multiply
   52,778x = 116,356 × 116,356
4. Step 4: Simplify right side
   52,778x = 13,538,718,736
5. Step 5: Solve for x
   x = 13,538,718,736/52,778
6. Step 6: Final answer
   x = 256,522.01