Finding the Third Proportional to 105,426 and 168,615

Step by Step Solution

1. Step 1: Write the proportion equation
   105,426 : 168,615 = 168,615 : x
2. Step 2: Convert to fraction form
   105,426/168,615 = 168,615/x
3. Step 3: Cross multiply
   105,426x = 168,615 × 168,615
4. Step 4: Simplify right side
   105,426x = 28,431,018,225
5. Step 5: Solve for x
   x = 28,431,018,225/105,426
6. Step 6: Final answer
   x = 269,677.48