Finding the Third Proportional to 51,882 and 101,172

Step by Step Solution

1. Step 1: Write the proportion equation
   51,882 : 101,172 = 101,172 : x
2. Step 2: Convert to fraction form
   51,882/101,172 = 101,172/x
3. Step 3: Cross multiply
   51,882x = 101,172 × 101,172
4. Step 4: Simplify right side
   51,882x = 10,235,773,584
5. Step 5: Solve for x
   x = 10,235,773,584/51,882
6. Step 6: Final answer
   x = 197,289.50