Finding the Third Proportional to 77,640 and 165,456

Step by Step Solution

1. Step 1: Write the proportion equation
   77,640 : 165,456 = 165,456 : x
2. Step 2: Convert to fraction form
   77,640/165,456 = 165,456/x
3. Step 3: Cross multiply
   77,640x = 165,456 × 165,456
4. Step 4: Simplify right side
   77,640x = 27,375,687,936
5. Step 5: Solve for x
   x = 27,375,687,936/77,640
6. Step 6: Final answer
   x = 352,597.73