Finding the Third Proportional to 263,142 and 384,870.75

Step by Step Solution

1. Step 1: Write the proportion equation
   263,142 : 384,870.75 = 384,870.75 : x
2. Step 2: Convert to fraction form
   263,142/384,870.75 = 384,870.75/x
3. Step 3: Cross multiply
   263,142x = 384,870.75 × 384,870.75
4. Step 4: Simplify right side
   263,142x = 148,125,494,205.56
5. Step 5: Solve for x
   x = 148,125,494,205.56/263,142
6. Step 6: Final answer
   x = 562,910.88