Finding the Third Proportional to 416,968 and 813,196

Step by Step Solution

1. Step 1: Write the proportion equation
   416,968 : 813,196 = 813,196 : x
2. Step 2: Convert to fraction form
   416,968/813,196 = 813,196/x
3. Step 3: Cross multiply
   416,968x = 813,196 × 813,196
4. Step 4: Simplify right side
   416,968x = 661,287,734,416
5. Step 5: Solve for x
   x = 661,287,734,416/416,968
6. Step 6: Final answer
   x = 1,585,943.61