Finding the Third Proportional to 677,768 and 1,467,114

Step by Step Solution

1. Step 1: Write the proportion equation
   677,768 : 1,467,114 = 1,467,114 : x
2. Step 2: Convert to fraction form
   677,768/1,467,114 = 1,467,114/x
3. Step 3: Cross multiply
   677,768x = 1,467,114 × 1,467,114
4. Step 4: Simplify right side
   677,768x = 2,152,423,488,996
5. Step 5: Solve for x
   x = 2,152,423,488,996/677,768
6. Step 6: Final answer
   x = 3,175,752.60