Finding the Third Proportional to 78,039 and 184,158

Step by Step Solution

1. Step 1: Write the proportion equation
   78,039 : 184,158 = 184,158 : x
2. Step 2: Convert to fraction form
   78,039/184,158 = 184,158/x
3. Step 3: Cross multiply
   78,039x = 184,158 × 184,158
4. Step 4: Simplify right side
   78,039x = 33,914,168,964
5. Step 5: Solve for x
   x = 33,914,168,964/78,039
6. Step 6: Final answer
   x = 434,579.75