Finding the Third Proportional to 51,811 and 78,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,811 : 78,727.50 = 78,727.50 : x
2. Step 2: Convert to fraction form
   51,811/78,727.50 = 78,727.50/x
3. Step 3: Cross multiply
   51,811x = 78,727.50 × 78,727.50
4. Step 4: Simplify right side
   51,811x = 6,198,019,256.25
5. Step 5: Solve for x
   x = 6,198,019,256.25/51,811
6. Step 6: Final answer
   x = 119,627.48