Finding the Third Proportional to 359,735 and 777,105

Step by Step Solution

1. Step 1: Write the proportion equation
   359,735 : 777,105 = 777,105 : x
2. Step 2: Convert to fraction form
   359,735/777,105 = 777,105/x
3. Step 3: Cross multiply
   359,735x = 777,105 × 777,105
4. Step 4: Simplify right side
   359,735x = 603,892,181,025
5. Step 5: Solve for x
   x = 603,892,181,025/359,735
6. Step 6: Final answer
   x = 1,678,714.00