Finding the Third Proportional to 184,475 and 278,002

Step by Step Solution

1. Step 1: Write the proportion equation
   184,475 : 278,002 = 278,002 : x
2. Step 2: Convert to fraction form
   184,475/278,002 = 278,002/x
3. Step 3: Cross multiply
   184,475x = 278,002 × 278,002
4. Step 4: Simplify right side
   184,475x = 77,285,112,004
5. Step 5: Solve for x
   x = 77,285,112,004/184,475
6. Step 6: Final answer
   x = 418,946.26