Finding the Third Proportional to 51,144 and 109,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,144 : 109,396.50 = 109,396.50 : x
2. Step 2: Convert to fraction form
   51,144/109,396.50 = 109,396.50/x
3. Step 3: Cross multiply
   51,144x = 109,396.50 × 109,396.50
4. Step 4: Simplify right side
   51,144x = 11,967,594,212.25
5. Step 5: Solve for x
   x = 11,967,594,212.25/51,144
6. Step 6: Final answer
   x = 233,998.01