Finding the Third Proportional to 381,998 and 830,426

Step by Step Solution

1. Step 1: Write the proportion equation
   381,998 : 830,426 = 830,426 : x
2. Step 2: Convert to fraction form
   381,998/830,426 = 830,426/x
3. Step 3: Cross multiply
   381,998x = 830,426 × 830,426
4. Step 4: Simplify right side
   381,998x = 689,607,341,476
5. Step 5: Solve for x
   x = 689,607,341,476/381,998
6. Step 6: Final answer
   x = 1,805,264.27