Finding the Third Proportional to 380,052 and 825,815.25

Step by Step Solution

1. Step 1: Write the proportion equation
   380,052 : 825,815.25 = 825,815.25 : x
2. Step 2: Convert to fraction form
   380,052/825,815.25 = 825,815.25/x
3. Step 3: Cross multiply
   380,052x = 825,815.25 × 825,815.25
4. Step 4: Simplify right side
   380,052x = 681,970,827,132.56
5. Step 5: Solve for x
   x = 681,970,827,132.56/380,052
6. Step 6: Final answer
   x = 1,794,414.52