Finding the Third Proportional to 120,828 and 184,424.25

Step by Step Solution

1. Step 1: Write the proportion equation
   120,828 : 184,424.25 = 184,424.25 : x
2. Step 2: Convert to fraction form
   120,828/184,424.25 = 184,424.25/x
3. Step 3: Cross multiply
   120,828x = 184,424.25 × 184,424.25
4. Step 4: Simplify right side
   120,828x = 34,012,303,988.06
5. Step 5: Solve for x
   x = 34,012,303,988.06/120,828
6. Step 6: Final answer
   x = 281,493.56