Finding the Third Proportional to 47,570 and 103,064

Step by Step Solution

1. Step 1: Write the proportion equation
   47,570 : 103,064 = 103,064 : x
2. Step 2: Convert to fraction form
   47,570/103,064 = 103,064/x
3. Step 3: Cross multiply
   47,570x = 103,064 × 103,064
4. Step 4: Simplify right side
   47,570x = 10,622,188,096
5. Step 5: Solve for x
   x = 10,622,188,096/47,570
6. Step 6: Final answer
   x = 223,295.94