Finding the Third Proportional to 85,446 and 184,039.69

Step by Step Solution

1. Step 1: Write the proportion equation
   85,446 : 184,039.69 = 184,039.69 : x
2. Step 2: Convert to fraction form
   85,446/184,039.69 = 184,039.69/x
3. Step 3: Cross multiply
   85,446x = 184,039.69 × 184,039.69
4. Step 4: Simplify right side
   85,446x = 33,870,606,575.10
5. Step 5: Solve for x
   x = 33,870,606,575.10/85,446
6. Step 6: Final answer
   x = 396,397.80