Finding the Third Proportional to 47,761 and 103,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,761 : 103,814.50 = 103,814.50 : x
2. Step 2: Convert to fraction form
   47,761/103,814.50 = 103,814.50/x
3. Step 3: Cross multiply
   47,761x = 103,814.50 × 103,814.50
4. Step 4: Simplify right side
   47,761x = 10,777,450,410.25
5. Step 5: Solve for x
   x = 10,777,450,410.25/47,761
6. Step 6: Final answer
   x = 225,653.78