Finding the Third Proportional to 85,662 and 184,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,662 : 184,081.50 = 184,081.50 : x
2. Step 2: Convert to fraction form
   85,662/184,081.50 = 184,081.50/x
3. Step 3: Cross multiply
   85,662x = 184,081.50 × 184,081.50
4. Step 4: Simplify right side
   85,662x = 33,885,998,642.25
5. Step 5: Solve for x
   x = 33,885,998,642.25/85,662
6. Step 6: Final answer
   x = 395,577.95