Finding the Third Proportional to 78,424 and 169,806

Step by Step Solution

1. Step 1: Write the proportion equation
   78,424 : 169,806 = 169,806 : x
2. Step 2: Convert to fraction form
   78,424/169,806 = 169,806/x
3. Step 3: Cross multiply
   78,424x = 169,806 × 169,806
4. Step 4: Simplify right side
   78,424x = 28,834,077,636
5. Step 5: Solve for x
   x = 28,834,077,636/78,424
6. Step 6: Final answer
   x = 367,669.05