Finding the Third Proportional to 240,761 and 322,099

Step by Step Solution

1. Step 1: Write the proportion equation
   240,761 : 322,099 = 322,099 : x
2. Step 2: Convert to fraction form
   240,761/322,099 = 322,099/x
3. Step 3: Cross multiply
   240,761x = 322,099 × 322,099
4. Step 4: Simplify right side
   240,761x = 103,747,765,801
5. Step 5: Solve for x
   x = 103,747,765,801/240,761
6. Step 6: Final answer
   x = 430,915.99