Finding the Third Proportional to 85,661 and 184,447

Step by Step Solution

1. Step 1: Write the proportion equation
   85,661 : 184,447 = 184,447 : x
2. Step 2: Convert to fraction form
   85,661/184,447 = 184,447/x
3. Step 3: Cross multiply
   85,661x = 184,447 × 184,447
4. Step 4: Simplify right side
   85,661x = 34,020,695,809
5. Step 5: Solve for x
   x = 34,020,695,809/85,661
6. Step 6: Final answer
   x = 397,155.02