Finding the Third Proportional to 47,214 and 103,014

Step by Step Solution

1. Step 1: Write the proportion equation
   47,214 : 103,014 = 103,014 : x
2. Step 2: Convert to fraction form
   47,214/103,014 = 103,014/x
3. Step 3: Cross multiply
   47,214x = 103,014 × 103,014
4. Step 4: Simplify right side
   47,214x = 10,611,884,196
5. Step 5: Solve for x
   x = 10,611,884,196/47,214
6. Step 6: Final answer
   x = 224,761.39