Finding the Third Proportional to 85,824 and 184,563

Step by Step Solution

1. Step 1: Write the proportion equation
   85,824 : 184,563 = 184,563 : x
2. Step 2: Convert to fraction form
   85,824/184,563 = 184,563/x
3. Step 3: Cross multiply
   85,824x = 184,563 × 184,563
4. Step 4: Simplify right side
   85,824x = 34,063,500,969
5. Step 5: Solve for x
   x = 34,063,500,969/85,824
6. Step 6: Final answer
   x = 396,899.48