Finding the Third Proportional to 85,208 and 182,752

Step by Step Solution

1. Step 1: Write the proportion equation
   85,208 : 182,752 = 182,752 : x
2. Step 2: Convert to fraction form
   85,208/182,752 = 182,752/x
3. Step 3: Cross multiply
   85,208x = 182,752 × 182,752
4. Step 4: Simplify right side
   85,208x = 33,398,293,504
5. Step 5: Solve for x
   x = 33,398,293,504/85,208
6. Step 6: Final answer
   x = 391,961.95