Finding the Third Proportional to 276,014 and 416,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   276,014 : 416,643.75 = 416,643.75 : x
2. Step 2: Convert to fraction form
   276,014/416,643.75 = 416,643.75/x
3. Step 3: Cross multiply
   276,014x = 416,643.75 × 416,643.75
4. Step 4: Simplify right side
   276,014x = 173,592,014,414.06
5. Step 5: Solve for x
   x = 173,592,014,414.06/276,014
6. Step 6: Final answer
   x = 628,924.67