Finding the Third Proportional to 301,152 and 443,416

Step by Step Solution

1. Step 1: Write the proportion equation
   301,152 : 443,416 = 443,416 : x
2. Step 2: Convert to fraction form
   301,152/443,416 = 443,416/x
3. Step 3: Cross multiply
   301,152x = 443,416 × 443,416
4. Step 4: Simplify right side
   301,152x = 196,617,749,056
5. Step 5: Solve for x
   x = 196,617,749,056/301,152
6. Step 6: Final answer
   x = 652,885.42