Finding the Third Proportional to 78,386 and 169,162

Step by Step Solution

1. Step 1: Write the proportion equation
   78,386 : 169,162 = 169,162 : x
2. Step 2: Convert to fraction form
   78,386/169,162 = 169,162/x
3. Step 3: Cross multiply
   78,386x = 169,162 × 169,162
4. Step 4: Simplify right side
   78,386x = 28,615,782,244
5. Step 5: Solve for x
   x = 28,615,782,244/78,386
6. Step 6: Final answer
   x = 365,062.41