Finding the Third Proportional to 47,946 and 104,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,946 : 104,257.50 = 104,257.50 : x
2. Step 2: Convert to fraction form
   47,946/104,257.50 = 104,257.50/x
3. Step 3: Cross multiply
   47,946x = 104,257.50 × 104,257.50
4. Step 4: Simplify right side
   47,946x = 10,869,626,306.25
5. Step 5: Solve for x
   x = 10,869,626,306.25/47,946
6. Step 6: Final answer
   x = 226,705.59