Finding the Third Proportional to 274,426 and 431,054

Step by Step Solution

1. Step 1: Write the proportion equation
   274,426 : 431,054 = 431,054 : x
2. Step 2: Convert to fraction form
   274,426/431,054 = 431,054/x
3. Step 3: Cross multiply
   274,426x = 431,054 × 431,054
4. Step 4: Simplify right side
   274,426x = 185,807,550,916
5. Step 5: Solve for x
   x = 185,807,550,916/274,426
6. Step 6: Final answer
   x = 677,077.07