Finding the Third Proportional to 47,164 and 102,752

Step by Step Solution

1. Step 1: Write the proportion equation
   47,164 : 102,752 = 102,752 : x
2. Step 2: Convert to fraction form
   47,164/102,752 = 102,752/x
3. Step 3: Cross multiply
   47,164x = 102,752 × 102,752
4. Step 4: Simplify right side
   47,164x = 10,557,973,504
5. Step 5: Solve for x
   x = 10,557,973,504/47,164
6. Step 6: Final answer
   x = 223,856.62