Finding the Third Proportional to 412,784 and 843,066

Step by Step Solution

1. Step 1: Write the proportion equation
   412,784 : 843,066 = 843,066 : x
2. Step 2: Convert to fraction form
   412,784/843,066 = 843,066/x
3. Step 3: Cross multiply
   412,784x = 843,066 × 843,066
4. Step 4: Simplify right side
   412,784x = 710,760,280,356
5. Step 5: Solve for x
   x = 710,760,280,356/412,784
6. Step 6: Final answer
   x = 1,721,869.74