Finding the Third Proportional to 78,168.38 and 184,403.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,168.38 : 184,403.25 = 184,403.25 : x
2. Step 2: Convert to fraction form
   78,168.38/184,403.25 = 184,403.25/x
3. Step 3: Cross multiply
   78,168.38x = 184,403.25 × 184,403.25
4. Step 4: Simplify right side
   78,168.38x = 34,004,558,610.56
5. Step 5: Solve for x
   x = 34,004,558,610.56/78,168.38
6. Step 6: Final answer
   x = 435,016.83