Finding the Third Proportional to 148,626 and 323,496

Step by Step Solution

1. Step 1: Write the proportion equation
   148,626 : 323,496 = 323,496 : x
2. Step 2: Convert to fraction form
   148,626/323,496 = 323,496/x
3. Step 3: Cross multiply
   148,626x = 323,496 × 323,496
4. Step 4: Simplify right side
   148,626x = 104,649,662,016
5. Step 5: Solve for x
   x = 104,649,662,016/148,626
6. Step 6: Final answer
   x = 704,114.10