Finding the Third Proportional to 397,674 and 841,407.75

Step by Step Solution

1. Step 1: Write the proportion equation
   397,674 : 841,407.75 = 841,407.75 : x
2. Step 2: Convert to fraction form
   397,674/841,407.75 = 841,407.75/x
3. Step 3: Cross multiply
   397,674x = 841,407.75 × 841,407.75
4. Step 4: Simplify right side
   397,674x = 707,967,001,760.06
5. Step 5: Solve for x
   x = 707,967,001,760.06/397,674
6. Step 6: Final answer
   x = 1,780,269.77