Finding the Third Proportional to 53,778 and 116,754

Step by Step Solution

1. Step 1: Write the proportion equation
   53,778 : 116,754 = 116,754 : x
2. Step 2: Convert to fraction form
   53,778/116,754 = 116,754/x
3. Step 3: Cross multiply
   53,778x = 116,754 × 116,754
4. Step 4: Simplify right side
   53,778x = 13,631,496,516
5. Step 5: Solve for x
   x = 13,631,496,516/53,778
6. Step 6: Final answer
   x = 253,477.19