Finding the Third Proportional to 47,265 and 103,116

Step by Step Solution

1. Step 1: Write the proportion equation
   47,265 : 103,116 = 103,116 : x
2. Step 2: Convert to fraction form
   47,265/103,116 = 103,116/x
3. Step 3: Cross multiply
   47,265x = 103,116 × 103,116
4. Step 4: Simplify right side
   47,265x = 10,632,909,456
5. Step 5: Solve for x
   x = 10,632,909,456/47,265
6. Step 6: Final answer
   x = 224,963.70