Finding the Third Proportional to 380,054 and 825,820

Step by Step Solution

1. Step 1: Write the proportion equation
   380,054 : 825,820 = 825,820 : x
2. Step 2: Convert to fraction form
   380,054/825,820 = 825,820/x
3. Step 3: Cross multiply
   380,054x = 825,820 × 825,820
4. Step 4: Simplify right side
   380,054x = 681,978,672,400
5. Step 5: Solve for x
   x = 681,978,672,400/380,054
6. Step 6: Final answer
   x = 1,794,425.72