Finding the Third Proportional to 301,416 and 456,004

Step by Step Solution

1. Step 1: Write the proportion equation
   301,416 : 456,004 = 456,004 : x
2. Step 2: Convert to fraction form
   301,416/456,004 = 456,004/x
3. Step 3: Cross multiply
   301,416x = 456,004 × 456,004
4. Step 4: Simplify right side
   301,416x = 207,939,648,016
5. Step 5: Solve for x
   x = 207,939,648,016/301,416
6. Step 6: Final answer
   x = 689,875.95