Finding the Third Proportional to 47,500 and 101,356

Step by Step Solution

1. Step 1: Write the proportion equation
   47,500 : 101,356 = 101,356 : x
2. Step 2: Convert to fraction form
   47,500/101,356 = 101,356/x
3. Step 3: Cross multiply
   47,500x = 101,356 × 101,356
4. Step 4: Simplify right side
   47,500x = 10,273,038,736
5. Step 5: Solve for x
   x = 10,273,038,736/47,500
6. Step 6: Final answer
   x = 216,274.50