Finding the Third Proportional to 184,780 and 278,834

Step by Step Solution

1. Step 1: Write the proportion equation
   184,780 : 278,834 = 278,834 : x
2. Step 2: Convert to fraction form
   184,780/278,834 = 278,834/x
3. Step 3: Cross multiply
   184,780x = 278,834 × 278,834
4. Step 4: Simplify right side
   184,780x = 77,748,399,556
5. Step 5: Solve for x
   x = 77,748,399,556/184,780
6. Step 6: Final answer
   x = 420,761.98