Finding the Third Proportional to 107,648 and 168,012

Step by Step Solution

1. Step 1: Write the proportion equation
   107,648 : 168,012 = 168,012 : x
2. Step 2: Convert to fraction form
   107,648/168,012 = 168,012/x
3. Step 3: Cross multiply
   107,648x = 168,012 × 168,012
4. Step 4: Simplify right side
   107,648x = 28,228,032,144
5. Step 5: Solve for x
   x = 28,228,032,144/107,648
6. Step 6: Final answer
   x = 262,225.33