Finding the Third Proportional to 78,055 and 184,196

Step by Step Solution

1. Step 1: Write the proportion equation
   78,055 : 184,196 = 184,196 : x
2. Step 2: Convert to fraction form
   78,055/184,196 = 184,196/x
3. Step 3: Cross multiply
   78,055x = 184,196 × 184,196
4. Step 4: Simplify right side
   78,055x = 33,928,166,416
5. Step 5: Solve for x
   x = 33,928,166,416/78,055
6. Step 6: Final answer
   x = 434,669.99