Finding the Third Proportional to 78,009 and 184,086

Step by Step Solution

1. Step 1: Write the proportion equation
   78,009 : 184,086 = 184,086 : x
2. Step 2: Convert to fraction form
   78,009/184,086 = 184,086/x
3. Step 3: Cross multiply
   78,009x = 184,086 × 184,086
4. Step 4: Simplify right side
   78,009x = 33,887,655,396
5. Step 5: Solve for x
   x = 33,887,655,396/78,009
6. Step 6: Final answer
   x = 434,407.00