Finding the Third Proportional to 47,661 and 101,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,661 : 101,863.50 = 101,863.50 : x
2. Step 2: Convert to fraction form
   47,661/101,863.50 = 101,863.50/x
3. Step 3: Cross multiply
   47,661x = 101,863.50 × 101,863.50
4. Step 4: Simplify right side
   47,661x = 10,376,172,632.25
5. Step 5: Solve for x
   x = 10,376,172,632.25/47,661
6. Step 6: Final answer
   x = 217,707.82