Finding the Third Proportional to 184,744 and 280,032

Step by Step Solution

1. Step 1: Write the proportion equation
   184,744 : 280,032 = 280,032 : x
2. Step 2: Convert to fraction form
   184,744/280,032 = 280,032/x
3. Step 3: Cross multiply
   184,744x = 280,032 × 280,032
4. Step 4: Simplify right side
   184,744x = 78,417,921,024
5. Step 5: Solve for x
   x = 78,417,921,024/184,744
6. Step 6: Final answer
   x = 424,468.03