Finding the Third Proportional to 645,834 and 996,003

Step by Step Solution

1. Step 1: Write the proportion equation
   645,834 : 996,003 = 996,003 : x
2. Step 2: Convert to fraction form
   645,834/996,003 = 996,003/x
3. Step 3: Cross multiply
   645,834x = 996,003 × 996,003
4. Step 4: Simplify right side
   645,834x = 992,021,976,009
5. Step 5: Solve for x
   x = 992,021,976,009/645,834
6. Step 6: Final answer
   x = 1,536,032.44