Finding the Third Proportional to 47,314 and 103,844

Step by Step Solution

1. Step 1: Write the proportion equation
   47,314 : 103,844 = 103,844 : x
2. Step 2: Convert to fraction form
   47,314/103,844 = 103,844/x
3. Step 3: Cross multiply
   47,314x = 103,844 × 103,844
4. Step 4: Simplify right side
   47,314x = 10,783,576,336
5. Step 5: Solve for x
   x = 10,783,576,336/47,314
6. Step 6: Final answer
   x = 227,915.13