Finding the Third Proportional to 382,146 and 832,960

Step by Step Solution

1. Step 1: Write the proportion equation
   382,146 : 832,960 = 832,960 : x
2. Step 2: Convert to fraction form
   382,146/832,960 = 832,960/x
3. Step 3: Cross multiply
   382,146x = 832,960 × 832,960
4. Step 4: Simplify right side
   382,146x = 693,822,361,600
5. Step 5: Solve for x
   x = 693,822,361,600/382,146
6. Step 6: Final answer
   x = 1,815,594.99