Finding the Third Proportional to 769,714 and 1,146,362

Step by Step Solution

1. Step 1: Write the proportion equation
   769,714 : 1,146,362 = 1,146,362 : x
2. Step 2: Convert to fraction form
   769,714/1,146,362 = 1,146,362/x
3. Step 3: Cross multiply
   769,714x = 1,146,362 × 1,146,362
4. Step 4: Simplify right side
   769,714x = 1,314,145,835,044
5. Step 5: Solve for x
   x = 1,314,145,835,044/769,714
6. Step 6: Final answer
   x = 1,707,317.05