Finding the Third Proportional to 51,078 and 77,112

Step by Step Solution

1. Step 1: Write the proportion equation
   51,078 : 77,112 = 77,112 : x
2. Step 2: Convert to fraction form
   51,078/77,112 = 77,112/x
3. Step 3: Cross multiply
   51,078x = 77,112 × 77,112
4. Step 4: Simplify right side
   51,078x = 5,946,260,544
5. Step 5: Solve for x
   x = 5,946,260,544/51,078
6. Step 6: Final answer
   x = 116,415.30