Finding the Third Proportional to 47,164 and 101,678

Step by Step Solution

1. Step 1: Write the proportion equation
   47,164 : 101,678 = 101,678 : x
2. Step 2: Convert to fraction form
   47,164/101,678 = 101,678/x
3. Step 3: Cross multiply
   47,164x = 101,678 × 101,678
4. Step 4: Simplify right side
   47,164x = 10,338,415,684
5. Step 5: Solve for x
   x = 10,338,415,684/47,164
6. Step 6: Final answer
   x = 219,201.42