Finding the Third Proportional to 51,809 and 78,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,809 : 78,725.50 = 78,725.50 : x
2. Step 2: Convert to fraction form
   51,809/78,725.50 = 78,725.50/x
3. Step 3: Cross multiply
   51,809x = 78,725.50 × 78,725.50
4. Step 4: Simplify right side
   51,809x = 6,197,704,350.25
5. Step 5: Solve for x
   x = 6,197,704,350.25/51,809
6. Step 6: Final answer
   x = 119,626.02