Finding the Third Proportional to 76,540.50 and 164,799

Step by Step Solution

1. Step 1: Write the proportion equation
   76,540.50 : 164,799 = 164,799 : x
2. Step 2: Convert to fraction form
   76,540.50/164,799 = 164,799/x
3. Step 3: Cross multiply
   76,540.50x = 164,799 × 164,799
4. Step 4: Simplify right side
   76,540.50x = 27,158,710,401
5. Step 5: Solve for x
   x = 27,158,710,401/76,540.50
6. Step 6: Final answer
   x = 354,827.97