Finding the Third Proportional to 379,161 and 825,275.25

Step by Step Solution

1. Step 1: Write the proportion equation
   379,161 : 825,275.25 = 825,275.25 : x
2. Step 2: Convert to fraction form
   379,161/825,275.25 = 825,275.25/x
3. Step 3: Cross multiply
   379,161x = 825,275.25 × 825,275.25
4. Step 4: Simplify right side
   379,161x = 681,079,238,262.56
5. Step 5: Solve for x
   x = 681,079,238,262.56/379,161
6. Step 6: Final answer
   x = 1,796,279.78