Finding the Third Proportional to 378,870.25 and 829,091

Step by Step Solution

1. Step 1: Write the proportion equation
   378,870.25 : 829,091 = 829,091 : x
2. Step 2: Convert to fraction form
   378,870.25/829,091 = 829,091/x
3. Step 3: Cross multiply
   378,870.25x = 829,091 × 829,091
4. Step 4: Simplify right side
   378,870.25x = 687,391,886,281
5. Step 5: Solve for x
   x = 687,391,886,281/378,870.25
6. Step 6: Final answer
   x = 1,814,320.04