Finding the Third Proportional to 262,626 and 382,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,626 : 382,453.50 = 382,453.50 : x
2. Step 2: Convert to fraction form
   262,626/382,453.50 = 382,453.50/x
3. Step 3: Cross multiply
   262,626x = 382,453.50 × 382,453.50
4. Step 4: Simplify right side
   262,626x = 146,270,679,662.25
5. Step 5: Solve for x
   x = 146,270,679,662.25/262,626
6. Step 6: Final answer
   x = 556,954.30