Finding the Third Proportional to 78,008 and 184,083

Step by Step Solution

1. Step 1: Write the proportion equation
   78,008 : 184,083 = 184,083 : x
2. Step 2: Convert to fraction form
   78,008/184,083 = 184,083/x
3. Step 3: Cross multiply
   78,008x = 184,083 × 184,083
4. Step 4: Simplify right side
   78,008x = 33,886,550,889
5. Step 5: Solve for x
   x = 33,886,550,889/78,008
6. Step 6: Final answer
   x = 434,398.41