Finding the Third Proportional to 165,752 and 362,852

Step by Step Solution

1. Step 1: Write the proportion equation
   165,752 : 362,852 = 362,852 : x
2. Step 2: Convert to fraction form
   165,752/362,852 = 362,852/x
3. Step 3: Cross multiply
   165,752x = 362,852 × 362,852
4. Step 4: Simplify right side
   165,752x = 131,661,573,904
5. Step 5: Solve for x
   x = 131,661,573,904/165,752
6. Step 6: Final answer
   x = 794,328.72