Finding the Third Proportional to 51,104 and 78,494

Step by Step Solution

1. Step 1: Write the proportion equation
   51,104 : 78,494 = 78,494 : x
2. Step 2: Convert to fraction form
   51,104/78,494 = 78,494/x
3. Step 3: Cross multiply
   51,104x = 78,494 × 78,494
4. Step 4: Simplify right side
   51,104x = 6,161,308,036
5. Step 5: Solve for x
   x = 6,161,308,036/51,104
6. Step 6: Final answer
   x = 120,564.11