Finding the Third Proportional to 402,270.50 and 596,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,270.50 : 596,443.50 = 596,443.50 : x
2. Step 2: Convert to fraction form
   402,270.50/596,443.50 = 596,443.50/x
3. Step 3: Cross multiply
   402,270.50x = 596,443.50 × 596,443.50
4. Step 4: Simplify right side
   402,270.50x = 355,744,848,692.25
5. Step 5: Solve for x
   x = 355,744,848,692.25/402,270.50
6. Step 6: Final answer
   x = 884,342.37