Finding the Third Proportional to 385,636 and 830,470

Step by Step Solution

1. Step 1: Write the proportion equation
   385,636 : 830,470 = 830,470 : x
2. Step 2: Convert to fraction form
   385,636/830,470 = 830,470/x
3. Step 3: Cross multiply
   385,636x = 830,470 × 830,470
4. Step 4: Simplify right side
   385,636x = 689,680,420,900
5. Step 5: Solve for x
   x = 689,680,420,900/385,636
6. Step 6: Final answer
   x = 1,788,423.33