Finding the Third Proportional to 116,296 and 184,452

Step by Step Solution

1. Step 1: Write the proportion equation
   116,296 : 184,452 = 184,452 : x
2. Step 2: Convert to fraction form
   116,296/184,452 = 184,452/x
3. Step 3: Cross multiply
   116,296x = 184,452 × 184,452
4. Step 4: Simplify right side
   116,296x = 34,022,540,304
5. Step 5: Solve for x
   x = 34,022,540,304/116,296
6. Step 6: Final answer
   x = 292,551.25