Finding the Third Proportional to 78,048 and 184,032

Step by Step Solution

1. Step 1: Write the proportion equation
   78,048 : 184,032 = 184,032 : x
2. Step 2: Convert to fraction form
   78,048/184,032 = 184,032/x
3. Step 3: Cross multiply
   78,048x = 184,032 × 184,032
4. Step 4: Simplify right side
   78,048x = 33,867,777,024
5. Step 5: Solve for x
   x = 33,867,777,024/78,048
6. Step 6: Final answer
   x = 433,935.23