Finding the Third Proportional to 298,251 and 451,719.75

Step by Step Solution

1. Step 1: Write the proportion equation
   298,251 : 451,719.75 = 451,719.75 : x
2. Step 2: Convert to fraction form
   298,251/451,719.75 = 451,719.75/x
3. Step 3: Cross multiply
   298,251x = 451,719.75 × 451,719.75
4. Step 4: Simplify right side
   298,251x = 204,050,732,540.06
5. Step 5: Solve for x
   x = 204,050,732,540.06/298,251
6. Step 6: Final answer
   x = 684,157.75