Finding the Third Proportional to 300,846 and 653,564

Step by Step Solution

1. Step 1: Write the proportion equation
   300,846 : 653,564 = 653,564 : x
2. Step 2: Convert to fraction form
   300,846/653,564 = 653,564/x
3. Step 3: Cross multiply
   300,846x = 653,564 × 653,564
4. Step 4: Simplify right side
   300,846x = 427,145,902,096
5. Step 5: Solve for x
   x = 427,145,902,096/300,846
6. Step 6: Final answer
   x = 1,419,815.79