Finding the Third Proportional to 51,144 and 78,366

Step by Step Solution

1. Step 1: Write the proportion equation
   51,144 : 78,366 = 78,366 : x
2. Step 2: Convert to fraction form
   51,144/78,366 = 78,366/x
3. Step 3: Cross multiply
   51,144x = 78,366 × 78,366
4. Step 4: Simplify right side
   51,144x = 6,141,229,956
5. Step 5: Solve for x
   x = 6,141,229,956/51,144
6. Step 6: Final answer
   x = 120,077.23