Finding the Third Proportional to 47,607 and 103,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,607 : 103,678.50 = 103,678.50 : x
2. Step 2: Convert to fraction form
   47,607/103,678.50 = 103,678.50/x
3. Step 3: Cross multiply
   47,607x = 103,678.50 × 103,678.50
4. Step 4: Simplify right side
   47,607x = 10,749,231,362.25
5. Step 5: Solve for x
   x = 10,749,231,362.25/47,607
6. Step 6: Final answer
   x = 225,790.98