Finding the Third Proportional to 85,933.50 and 184,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,933.50 : 184,564.50 = 184,564.50 : x
2. Step 2: Convert to fraction form
   85,933.50/184,564.50 = 184,564.50/x
3. Step 3: Cross multiply
   85,933.50x = 184,564.50 × 184,564.50
4. Step 4: Simplify right side
   85,933.50x = 34,064,054,660.25
5. Step 5: Solve for x
   x = 34,064,054,660.25/85,933.50
6. Step 6: Final answer
   x = 396,400.18