Finding the Third Proportional to 51,804.50 and 78,719.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,804.50 : 78,719.25 = 78,719.25 : x
2. Step 2: Convert to fraction form
   51,804.50/78,719.25 = 78,719.25/x
3. Step 3: Cross multiply
   51,804.50x = 78,719.25 × 78,719.25
4. Step 4: Simplify right side
   51,804.50x = 6,196,720,320.56
5. Step 5: Solve for x
   x = 6,196,720,320.56/51,804.50
6. Step 6: Final answer
   x = 119,617.41