Finding the Third Proportional to 47,706 and 110,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,706 : 110,896.50 = 110,896.50 : x
2. Step 2: Convert to fraction form
   47,706/110,896.50 = 110,896.50/x
3. Step 3: Cross multiply
   47,706x = 110,896.50 × 110,896.50
4. Step 4: Simplify right side
   47,706x = 12,298,033,712.25
5. Step 5: Solve for x
   x = 12,298,033,712.25/47,706
6. Step 6: Final answer
   x = 257,787.99