Finding the Third Proportional to 51,811 and 110,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,811 : 110,972.50 = 110,972.50 : x
2. Step 2: Convert to fraction form
   51,811/110,972.50 = 110,972.50/x
3. Step 3: Cross multiply
   51,811x = 110,972.50 × 110,972.50
4. Step 4: Simplify right side
   51,811x = 12,314,895,756.25
5. Step 5: Solve for x
   x = 12,314,895,756.25/51,811
6. Step 6: Final answer
   x = 237,688.83