Finding the Third Proportional to 262,624.50 and 384,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,624.50 : 384,619.50 = 384,619.50 : x
2. Step 2: Convert to fraction form
   262,624.50/384,619.50 = 384,619.50/x
3. Step 3: Cross multiply
   262,624.50x = 384,619.50 × 384,619.50
4. Step 4: Simplify right side
   262,624.50x = 147,932,159,780.25
5. Step 5: Solve for x
   x = 147,932,159,780.25/262,624.50
6. Step 6: Final answer
   x = 563,283.93