Finding the Third Proportional to 380,788 and 810,478

Step by Step Solution

1. Step 1: Write the proportion equation
   380,788 : 810,478 = 810,478 : x
2. Step 2: Convert to fraction form
   380,788/810,478 = 810,478/x
3. Step 3: Cross multiply
   380,788x = 810,478 × 810,478
4. Step 4: Simplify right side
   380,788x = 656,874,588,484
5. Step 5: Solve for x
   x = 656,874,588,484/380,788
6. Step 6: Final answer
   x = 1,725,040.15