Finding the Third Proportional to 781,683 and 1,693,846

Step by Step Solution

1. Step 1: Write the proportion equation
   781,683 : 1,693,846 = 1,693,846 : x
2. Step 2: Convert to fraction form
   781,683/1,693,846 = 1,693,846/x
3. Step 3: Cross multiply
   781,683x = 1,693,846 × 1,693,846
4. Step 4: Simplify right side
   781,683x = 2,869,114,271,716
5. Step 5: Solve for x
   x = 2,869,114,271,716/781,683
6. Step 6: Final answer
   x = 3,670,431.97