Finding the Third Proportional to 51,075 and 111,546

Step by Step Solution

1. Step 1: Write the proportion equation
   51,075 : 111,546 = 111,546 : x
2. Step 2: Convert to fraction form
   51,075/111,546 = 111,546/x
3. Step 3: Cross multiply
   51,075x = 111,546 × 111,546
4. Step 4: Simplify right side
   51,075x = 12,442,510,116
5. Step 5: Solve for x
   x = 12,442,510,116/51,075
6. Step 6: Final answer
   x = 243,612.53