Finding the Third Proportional to 47,898 and 102,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,898 : 102,904.50 = 102,904.50 : x
2. Step 2: Convert to fraction form
   47,898/102,904.50 = 102,904.50/x
3. Step 3: Cross multiply
   47,898x = 102,904.50 × 102,904.50
4. Step 4: Simplify right side
   47,898x = 10,589,336,120.25
5. Step 5: Solve for x
   x = 10,589,336,120.25/47,898
6. Step 6: Final answer
   x = 221,080.97