Finding the Third Proportional to 374,144 and 819,784

Step by Step Solution

1. Step 1: Write the proportion equation
   374,144 : 819,784 = 819,784 : x
2. Step 2: Convert to fraction form
   374,144/819,784 = 819,784/x
3. Step 3: Cross multiply
   374,144x = 819,784 × 819,784
4. Step 4: Simplify right side
   374,144x = 672,045,806,656
5. Step 5: Solve for x
   x = 672,045,806,656/374,144
6. Step 6: Final answer
   x = 1,796,222.33