Finding the Third Proportional to 298,645.50 and 462,414

Step by Step Solution

1. Step 1: Write the proportion equation
   298,645.50 : 462,414 = 462,414 : x
2. Step 2: Convert to fraction form
   298,645.50/462,414 = 462,414/x
3. Step 3: Cross multiply
   298,645.50x = 462,414 × 462,414
4. Step 4: Simplify right side
   298,645.50x = 213,826,707,396
5. Step 5: Solve for x
   x = 213,826,707,396/298,645.50
6. Step 6: Final answer
   x = 715,988.38