Finding the Third Proportional to 47,772 and 101,238.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,772 : 101,238.75 = 101,238.75 : x
2. Step 2: Convert to fraction form
   47,772/101,238.75 = 101,238.75/x
3. Step 3: Cross multiply
   47,772x = 101,238.75 × 101,238.75
4. Step 4: Simplify right side
   47,772x = 10,249,284,501.56
5. Step 5: Solve for x
   x = 10,249,284,501.56/47,772
6. Step 6: Final answer
   x = 214,545.85