Finding the Third Proportional to 47,908.50 and 111,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,908.50 : 111,898.50 = 111,898.50 : x
2. Step 2: Convert to fraction form
   47,908.50/111,898.50 = 111,898.50/x
3. Step 3: Cross multiply
   47,908.50x = 111,898.50 × 111,898.50
4. Step 4: Simplify right side
   47,908.50x = 12,521,274,302.25
5. Step 5: Solve for x
   x = 12,521,274,302.25/47,908.50
6. Step 6: Final answer
   x = 261,358.10