Finding the Third Proportional to 689,416 and 1,441,296

Step by Step Solution

1. Step 1: Write the proportion equation
   689,416 : 1,441,296 = 1,441,296 : x
2. Step 2: Convert to fraction form
   689,416/1,441,296 = 1,441,296/x
3. Step 3: Cross multiply
   689,416x = 1,441,296 × 1,441,296
4. Step 4: Simplify right side
   689,416x = 2,077,334,159,616
5. Step 5: Solve for x
   x = 2,077,334,159,616/689,416
6. Step 6: Final answer
   x = 3,013,179.50