Finding the Third Proportional to 997,818 and 1,536,096

Step by Step Solution

1. Step 1: Write the proportion equation
   997,818 : 1,536,096 = 1,536,096 : x
2. Step 2: Convert to fraction form
   997,818/1,536,096 = 1,536,096/x
3. Step 3: Cross multiply
   997,818x = 1,536,096 × 1,536,096
4. Step 4: Simplify right side
   997,818x = 2,359,590,921,216
5. Step 5: Solve for x
   x = 2,359,590,921,216/997,818
6. Step 6: Final answer
   x = 2,364,750.81