Finding the Third Proportional to 164,002.50 and 267,801

Step by Step Solution

1. Step 1: Write the proportion equation
   164,002.50 : 267,801 = 267,801 : x
2. Step 2: Convert to fraction form
   164,002.50/267,801 = 267,801/x
3. Step 3: Cross multiply
   164,002.50x = 267,801 × 267,801
4. Step 4: Simplify right side
   164,002.50x = 71,717,375,601
5. Step 5: Solve for x
   x = 71,717,375,601/164,002.50
6. Step 6: Final answer
   x = 437,294.40