Finding the Third Proportional to 85,128 and 184,996

Step by Step Solution

1. Step 1: Write the proportion equation
   85,128 : 184,996 = 184,996 : x
2. Step 2: Convert to fraction form
   85,128/184,996 = 184,996/x
3. Step 3: Cross multiply
   85,128x = 184,996 × 184,996
4. Step 4: Simplify right side
   85,128x = 34,223,520,016
5. Step 5: Solve for x
   x = 34,223,520,016/85,128
6. Step 6: Final answer
   x = 402,024.25