Finding the Third Proportional to 184,426 and 278,333

Step by Step Solution

1. Step 1: Write the proportion equation
   184,426 : 278,333 = 278,333 : x
2. Step 2: Convert to fraction form
   184,426/278,333 = 278,333/x
3. Step 3: Cross multiply
   184,426x = 278,333 × 278,333
4. Step 4: Simplify right side
   184,426x = 77,469,258,889
5. Step 5: Solve for x
   x = 77,469,258,889/184,426
6. Step 6: Final answer
   x = 420,056.06