Finding the Third Proportional to 282,567 and 423,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,567 : 423,856.50 = 423,856.50 : x
2. Step 2: Convert to fraction form
   282,567/423,856.50 = 423,856.50/x
3. Step 3: Cross multiply
   282,567x = 423,856.50 × 423,856.50
4. Step 4: Simplify right side
   282,567x = 179,654,332,592.25
5. Step 5: Solve for x
   x = 179,654,332,592.25/282,567
6. Step 6: Final answer
   x = 635,793.75