Finding the Third Proportional to 416,036 and 851,784

Step by Step Solution

1. Step 1: Write the proportion equation
   416,036 : 851,784 = 851,784 : x
2. Step 2: Convert to fraction form
   416,036/851,784 = 851,784/x
3. Step 3: Cross multiply
   416,036x = 851,784 × 851,784
4. Step 4: Simplify right side
   416,036x = 725,535,982,656
5. Step 5: Solve for x
   x = 725,535,982,656/416,036
6. Step 6: Final answer
   x = 1,743,925.96