Finding the Third Proportional to 786,064 and 1,684,268

Step by Step Solution

1. Step 1: Write the proportion equation
   786,064 : 1,684,268 = 1,684,268 : x
2. Step 2: Convert to fraction form
   786,064/1,684,268 = 1,684,268/x
3. Step 3: Cross multiply
   786,064x = 1,684,268 × 1,684,268
4. Step 4: Simplify right side
   786,064x = 2,836,758,695,824
5. Step 5: Solve for x
   x = 2,836,758,695,824/786,064
6. Step 6: Final answer
   x = 3,608,813.91