Finding the Third Proportional to 458,665 and 674,516

Step by Step Solution

1. Step 1: Write the proportion equation
   458,665 : 674,516 = 674,516 : x
2. Step 2: Convert to fraction form
   458,665/674,516 = 674,516/x
3. Step 3: Cross multiply
   458,665x = 674,516 × 674,516
4. Step 4: Simplify right side
   458,665x = 454,971,834,256
5. Step 5: Solve for x
   x = 454,971,834,256/458,665
6. Step 6: Final answer
   x = 991,948.01