Finding the Third Proportional to 51,888 and 114,144

Step by Step Solution

1. Step 1: Write the proportion equation
   51,888 : 114,144 = 114,144 : x
2. Step 2: Convert to fraction form
   51,888/114,144 = 114,144/x
3. Step 3: Cross multiply
   51,888x = 114,144 × 114,144
4. Step 4: Simplify right side
   51,888x = 13,028,852,736
5. Step 5: Solve for x
   x = 13,028,852,736/51,888
6. Step 6: Final answer
   x = 251,095.68