Finding the Third Proportional to 416,938 and 813,140

Step by Step Solution

1. Step 1: Write the proportion equation
   416,938 : 813,140 = 813,140 : x
2. Step 2: Convert to fraction form
   416,938/813,140 = 813,140/x
3. Step 3: Cross multiply
   416,938x = 813,140 × 813,140
4. Step 4: Simplify right side
   416,938x = 661,196,659,600
5. Step 5: Solve for x
   x = 661,196,659,600/416,938
6. Step 6: Final answer
   x = 1,585,839.28