Finding the Third Proportional to 47,530 and 101,178

Step by Step Solution

1. Step 1: Write the proportion equation
   47,530 : 101,178 = 101,178 : x
2. Step 2: Convert to fraction form
   47,530/101,178 = 101,178/x
3. Step 3: Cross multiply
   47,530x = 101,178 × 101,178
4. Step 4: Simplify right side
   47,530x = 10,236,987,684
5. Step 5: Solve for x
   x = 10,236,987,684/47,530
6. Step 6: Final answer
   x = 215,379.50