Finding the Third Proportional to 75,567.50 and 165,499

Step by Step Solution

1. Step 1: Write the proportion equation
   75,567.50 : 165,499 = 165,499 : x
2. Step 2: Convert to fraction form
   75,567.50/165,499 = 165,499/x
3. Step 3: Cross multiply
   75,567.50x = 165,499 × 165,499
4. Step 4: Simplify right side
   75,567.50x = 27,389,919,001
5. Step 5: Solve for x
   x = 27,389,919,001/75,567.50
6. Step 6: Final answer
   x = 362,456.33