Finding the Third Proportional to 781,984 and 1,826,946

Step by Step Solution

1. Step 1: Write the proportion equation
   781,984 : 1,826,946 = 1,826,946 : x
2. Step 2: Convert to fraction form
   781,984/1,826,946 = 1,826,946/x
3. Step 3: Cross multiply
   781,984x = 1,826,946 × 1,826,946
4. Step 4: Simplify right side
   781,984x = 3,337,731,686,916
5. Step 5: Solve for x
   x = 3,337,731,686,916/781,984
6. Step 6: Final answer
   x = 4,268,286.42