Finding the Third Proportional to 766,441 and 1,582,082

Step by Step Solution

1. Step 1: Write the proportion equation
   766,441 : 1,582,082 = 1,582,082 : x
2. Step 2: Convert to fraction form
   766,441/1,582,082 = 1,582,082/x
3. Step 3: Cross multiply
   766,441x = 1,582,082 × 1,582,082
4. Step 4: Simplify right side
   766,441x = 2,502,983,454,724
5. Step 5: Solve for x
   x = 2,502,983,454,724/766,441
6. Step 6: Final answer
   x = 3,265,722.29