Finding the Third Proportional to 276,333 and 422,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,333 : 422,518.50 = 422,518.50 : x
2. Step 2: Convert to fraction form
   276,333/422,518.50 = 422,518.50/x
3. Step 3: Cross multiply
   276,333x = 422,518.50 × 422,518.50
4. Step 4: Simplify right side
   276,333x = 178,521,882,842.25
5. Step 5: Solve for x
   x = 178,521,882,842.25/276,333
6. Step 6: Final answer
   x = 646,038.96