Finding the Third Proportional to 116,778 and 253,974

Step by Step Solution

1. Step 1: Write the proportion equation
   116,778 : 253,974 = 253,974 : x
2. Step 2: Convert to fraction form
   116,778/253,974 = 253,974/x
3. Step 3: Cross multiply
   116,778x = 253,974 × 253,974
4. Step 4: Simplify right side
   116,778x = 64,502,792,676
5. Step 5: Solve for x
   x = 64,502,792,676/116,778
6. Step 6: Final answer
   x = 552,353.98