Finding the Third Proportional to 47,706 and 103,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,706 : 103,612.50 = 103,612.50 : x
2. Step 2: Convert to fraction form
   47,706/103,612.50 = 103,612.50/x
3. Step 3: Cross multiply
   47,706x = 103,612.50 × 103,612.50
4. Step 4: Simplify right side
   47,706x = 10,735,550,156.25
5. Step 5: Solve for x
   x = 10,735,550,156.25/47,706
6. Step 6: Final answer
   x = 225,035.64