Finding the Third Proportional to 47,099 and 103,054

Step by Step Solution

1. Step 1: Write the proportion equation
   47,099 : 103,054 = 103,054 : x
2. Step 2: Convert to fraction form
   47,099/103,054 = 103,054/x
3. Step 3: Cross multiply
   47,099x = 103,054 × 103,054
4. Step 4: Simplify right side
   47,099x = 10,620,126,916
5. Step 5: Solve for x
   x = 10,620,126,916/47,099
6. Step 6: Final answer
   x = 225,485.19