Finding the Third Proportional to 78,072 and 184,240

Step by Step Solution

1. Step 1: Write the proportion equation
   78,072 : 184,240 = 184,240 : x
2. Step 2: Convert to fraction form
   78,072/184,240 = 184,240/x
3. Step 3: Cross multiply
   78,072x = 184,240 × 184,240
4. Step 4: Simplify right side
   78,072x = 33,944,377,600
5. Step 5: Solve for x
   x = 33,944,377,600/78,072
6. Step 6: Final answer
   x = 434,782.99