Finding the Third Proportional to 322,353 and 758,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,353 : 758,254.50 = 758,254.50 : x
2. Step 2: Convert to fraction form
   322,353/758,254.50 = 758,254.50/x
3. Step 3: Cross multiply
   322,353x = 758,254.50 × 758,254.50
4. Step 4: Simplify right side
   322,353x = 574,949,886,770.25
5. Step 5: Solve for x
   x = 574,949,886,770.25/322,353
6. Step 6: Final answer
   x = 1,783,603.34