Finding the Third Proportional to 47,988 and 101,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,988 : 101,512.50 = 101,512.50 : x
2. Step 2: Convert to fraction form
   47,988/101,512.50 = 101,512.50/x
3. Step 3: Cross multiply
   47,988x = 101,512.50 × 101,512.50
4. Step 4: Simplify right side
   47,988x = 10,304,787,656.25
5. Step 5: Solve for x
   x = 10,304,787,656.25/47,988
6. Step 6: Final answer
   x = 214,736.76