Finding the Third Proportional to 105,424 and 168,614

Step by Step Solution

1. Step 1: Write the proportion equation
   105,424 : 168,614 = 168,614 : x
2. Step 2: Convert to fraction form
   105,424/168,614 = 168,614/x
3. Step 3: Cross multiply
   105,424x = 168,614 × 168,614
4. Step 4: Simplify right side
   105,424x = 28,430,680,996
5. Step 5: Solve for x
   x = 28,430,680,996/105,424
6. Step 6: Final answer
   x = 269,679.40