Finding the Third Proportional to 47,500 and 102,612

Step by Step Solution

1. Step 1: Write the proportion equation
   47,500 : 102,612 = 102,612 : x
2. Step 2: Convert to fraction form
   47,500/102,612 = 102,612/x
3. Step 3: Cross multiply
   47,500x = 102,612 × 102,612
4. Step 4: Simplify right side
   47,500x = 10,529,222,544
5. Step 5: Solve for x
   x = 10,529,222,544/47,500
6. Step 6: Final answer
   x = 221,667.84