Finding the Third Proportional to 293,834 and 643,036

Step by Step Solution

1. Step 1: Write the proportion equation
   293,834 : 643,036 = 643,036 : x
2. Step 2: Convert to fraction form
   293,834/643,036 = 643,036/x
3. Step 3: Cross multiply
   293,834x = 643,036 × 643,036
4. Step 4: Simplify right side
   293,834x = 413,495,297,296
5. Step 5: Solve for x
   x = 413,495,297,296/293,834
6. Step 6: Final answer
   x = 1,407,241.15