Finding the Third Proportional to 53,774 and 116,978

Step by Step Solution

1. Step 1: Write the proportion equation
   53,774 : 116,978 = 116,978 : x
2. Step 2: Convert to fraction form
   53,774/116,978 = 116,978/x
3. Step 3: Cross multiply
   53,774x = 116,978 × 116,978
4. Step 4: Simplify right side
   53,774x = 13,683,852,484
5. Step 5: Solve for x
   x = 13,683,852,484/53,774
6. Step 6: Final answer
   x = 254,469.68