Finding the Third Proportional to 298,414.13 and 462,079.69

Step by Step Solution

1. Step 1: Write the proportion equation
   298,414.13 : 462,079.69 = 462,079.69 : x
2. Step 2: Convert to fraction form
   298,414.13/462,079.69 = 462,079.69/x
3. Step 3: Cross multiply
   298,414.13x = 462,079.69 × 462,079.69
4. Step 4: Simplify right side
   298,414.13x = 213,517,637,600.10
5. Step 5: Solve for x
   x = 213,517,637,600.10/298,414.13
6. Step 6: Final answer
   x = 715,507.81