Finding the Third Proportional to 276,300 and 419,856

Step by Step Solution

1. Step 1: Write the proportion equation
   276,300 : 419,856 = 419,856 : x
2. Step 2: Convert to fraction form
   276,300/419,856 = 419,856/x
3. Step 3: Cross multiply
   276,300x = 419,856 × 419,856
4. Step 4: Simplify right side
   276,300x = 176,279,060,736
5. Step 5: Solve for x
   x = 176,279,060,736/276,300
6. Step 6: Final answer
   x = 637,998.77