Finding the Third Proportional to 108,624 and 169,794

Step by Step Solution

1. Step 1: Write the proportion equation
   108,624 : 169,794 = 169,794 : x
2. Step 2: Convert to fraction form
   108,624/169,794 = 169,794/x
3. Step 3: Cross multiply
   108,624x = 169,794 × 169,794
4. Step 4: Simplify right side
   108,624x = 28,830,002,436
5. Step 5: Solve for x
   x = 28,830,002,436/108,624
6. Step 6: Final answer
   x = 265,410.98