Finding the Third Proportional to 78,446 and 169,996

Step by Step Solution

1. Step 1: Write the proportion equation
   78,446 : 169,996 = 169,996 : x
2. Step 2: Convert to fraction form
   78,446/169,996 = 169,996/x
3. Step 3: Cross multiply
   78,446x = 169,996 × 169,996
4. Step 4: Simplify right side
   78,446x = 28,898,640,016
5. Step 5: Solve for x
   x = 28,898,640,016/78,446
6. Step 6: Final answer
   x = 368,388.96