Finding the Third Proportional to 78,256 and 165,152

Step by Step Solution

1. Step 1: Write the proportion equation
   78,256 : 165,152 = 165,152 : x
2. Step 2: Convert to fraction form
   78,256/165,152 = 165,152/x
3. Step 3: Cross multiply
   78,256x = 165,152 × 165,152
4. Step 4: Simplify right side
   78,256x = 27,275,183,104
5. Step 5: Solve for x
   x = 27,275,183,104/78,256
6. Step 6: Final answer
   x = 348,537.92