Finding the Third Proportional to 413,173.50 and 638,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,173.50 : 638,443.50 = 638,443.50 : x
2. Step 2: Convert to fraction form
   413,173.50/638,443.50 = 638,443.50/x
3. Step 3: Cross multiply
   413,173.50x = 638,443.50 × 638,443.50
4. Step 4: Simplify right side
   413,173.50x = 407,610,102,692.25
5. Step 5: Solve for x
   x = 407,610,102,692.25/413,173.50
6. Step 6: Final answer
   x = 986,534.96