Finding the Third Proportional to 164,027 and 267,839.25

Step by Step Solution

1. Step 1: Write the proportion equation
   164,027 : 267,839.25 = 267,839.25 : x
2. Step 2: Convert to fraction form
   164,027/267,839.25 = 267,839.25/x
3. Step 3: Cross multiply
   164,027x = 267,839.25 × 267,839.25
4. Step 4: Simplify right side
   164,027x = 71,737,863,840.56
5. Step 5: Solve for x
   x = 71,737,863,840.56/164,027
6. Step 6: Final answer
   x = 437,354.00