Finding the Third Proportional to 85,824 and 184,562

Step by Step Solution

1. Step 1: Write the proportion equation
   85,824 : 184,562 = 184,562 : x
2. Step 2: Convert to fraction form
   85,824/184,562 = 184,562/x
3. Step 3: Cross multiply
   85,824x = 184,562 × 184,562
4. Step 4: Simplify right side
   85,824x = 34,063,131,844
5. Step 5: Solve for x
   x = 34,063,131,844/85,824
6. Step 6: Final answer
   x = 396,895.18