Finding the Third Proportional to 301,420 and 456,010

Step by Step Solution

1. Step 1: Write the proportion equation
   301,420 : 456,010 = 456,010 : x
2. Step 2: Convert to fraction form
   301,420/456,010 = 456,010/x
3. Step 3: Cross multiply
   301,420x = 456,010 × 456,010
4. Step 4: Simplify right side
   301,420x = 207,945,120,100
5. Step 5: Solve for x
   x = 207,945,120,100/301,420
6. Step 6: Final answer
   x = 689,884.94