Finding the Third Proportional to 380,064 and 825,840

Step by Step Solution

1. Step 1: Write the proportion equation
   380,064 : 825,840 = 825,840 : x
2. Step 2: Convert to fraction form
   380,064/825,840 = 825,840/x
3. Step 3: Cross multiply
   380,064x = 825,840 × 825,840
4. Step 4: Simplify right side
   380,064x = 682,011,705,600
5. Step 5: Solve for x
   x = 682,011,705,600/380,064
6. Step 6: Final answer
   x = 1,794,465.42