Finding the Third Proportional to 826,080 and 1,807,680

Step by Step Solution

1. Step 1: Write the proportion equation
   826,080 : 1,807,680 = 1,807,680 : x
2. Step 2: Convert to fraction form
   826,080/1,807,680 = 1,807,680/x
3. Step 3: Cross multiply
   826,080x = 1,807,680 × 1,807,680
4. Step 4: Simplify right side
   826,080x = 3,267,706,982,400
5. Step 5: Solve for x
   x = 3,267,706,982,400/826,080
6. Step 6: Final answer
   x = 3,955,678.61