Finding the Third Proportional to 262,630 and 382,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,630 : 382,459.50 = 382,459.50 : x
2. Step 2: Convert to fraction form
   262,630/382,459.50 = 382,459.50/x
3. Step 3: Cross multiply
   262,630x = 382,459.50 × 382,459.50
4. Step 4: Simplify right side
   262,630x = 146,275,269,140.25
5. Step 5: Solve for x
   x = 146,275,269,140.25/262,630
6. Step 6: Final answer
   x = 556,963.29