Finding the Third Proportional to 380,252 and 826,196

Step by Step Solution

1. Step 1: Write the proportion equation
   380,252 : 826,196 = 826,196 : x
2. Step 2: Convert to fraction form
   380,252/826,196 = 826,196/x
3. Step 3: Cross multiply
   380,252x = 826,196 × 826,196
4. Step 4: Simplify right side
   380,252x = 682,599,830,416
5. Step 5: Solve for x
   x = 682,599,830,416/380,252
6. Step 6: Final answer
   x = 1,795,124.89