Finding the Third Proportional to 300,843 and 643,158

Step by Step Solution

1. Step 1: Write the proportion equation
   300,843 : 643,158 = 643,158 : x
2. Step 2: Convert to fraction form
   300,843/643,158 = 643,158/x
3. Step 3: Cross multiply
   300,843x = 643,158 × 643,158
4. Step 4: Simplify right side
   300,843x = 413,652,212,964
5. Step 5: Solve for x
   x = 413,652,212,964/300,843
6. Step 6: Final answer
   x = 1,374,977.02