Finding the Third Proportional to 354,402 and 771,012

Step by Step Solution

1. Step 1: Write the proportion equation
   354,402 : 771,012 = 771,012 : x
2. Step 2: Convert to fraction form
   354,402/771,012 = 771,012/x
3. Step 3: Cross multiply
   354,402x = 771,012 × 771,012
4. Step 4: Simplify right side
   354,402x = 594,459,504,144
5. Step 5: Solve for x
   x = 594,459,504,144/354,402
6. Step 6: Final answer
   x = 1,677,359.34