Finding the Third Proportional to 51,180.75 and 78,392.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,180.75 : 78,392.25 = 78,392.25 : x
2. Step 2: Convert to fraction form
   51,180.75/78,392.25 = 78,392.25/x
3. Step 3: Cross multiply
   51,180.75x = 78,392.25 × 78,392.25
4. Step 4: Simplify right side
   51,180.75x = 6,145,344,860.06
5. Step 5: Solve for x
   x = 6,145,344,860.06/51,180.75
6. Step 6: Final answer
   x = 120,071.41