Finding the Third Proportional to 78,042 and 184,167

Step by Step Solution

1. Step 1: Write the proportion equation
   78,042 : 184,167 = 184,167 : x
2. Step 2: Convert to fraction form
   78,042/184,167 = 184,167/x
3. Step 3: Cross multiply
   78,042x = 184,167 × 184,167
4. Step 4: Simplify right side
   78,042x = 33,917,483,889
5. Step 5: Solve for x
   x = 33,917,483,889/78,042
6. Step 6: Final answer
   x = 434,605.52