Finding the Third Proportional to 184,492 and 278,434

Step by Step Solution

1. Step 1: Write the proportion equation
   184,492 : 278,434 = 278,434 : x
2. Step 2: Convert to fraction form
   184,492/278,434 = 278,434/x
3. Step 3: Cross multiply
   184,492x = 278,434 × 278,434
4. Step 4: Simplify right side
   184,492x = 77,525,492,356
5. Step 5: Solve for x
   x = 77,525,492,356/184,492
6. Step 6: Final answer
   x = 420,210.59