Finding the Third Proportional to 359,948 and 787,684

Step by Step Solution

1. Step 1: Write the proportion equation
   359,948 : 787,684 = 787,684 : x
2. Step 2: Convert to fraction form
   359,948/787,684 = 787,684/x
3. Step 3: Cross multiply
   359,948x = 787,684 × 787,684
4. Step 4: Simplify right side
   359,948x = 620,446,083,856
5. Step 5: Solve for x
   x = 620,446,083,856/359,948
6. Step 6: Final answer
   x = 1,723,710.32