Finding the Third Proportional to 75,859.50 and 165,732

Step by Step Solution

1. Step 1: Write the proportion equation
   75,859.50 : 165,732 = 165,732 : x
2. Step 2: Convert to fraction form
   75,859.50/165,732 = 165,732/x
3. Step 3: Cross multiply
   75,859.50x = 165,732 × 165,732
4. Step 4: Simplify right side
   75,859.50x = 27,467,095,824
5. Step 5: Solve for x
   x = 27,467,095,824/75,859.50
6. Step 6: Final answer
   x = 362,078.52