Finding the Third Proportional to 85,722 and 184,200

Step by Step Solution

1. Step 1: Write the proportion equation
   85,722 : 184,200 = 184,200 : x
2. Step 2: Convert to fraction form
   85,722/184,200 = 184,200/x
3. Step 3: Cross multiply
   85,722x = 184,200 × 184,200
4. Step 4: Simplify right side
   85,722x = 33,929,640,000
5. Step 5: Solve for x
   x = 33,929,640,000/85,722
6. Step 6: Final answer
   x = 395,810.18