Finding the Third Proportional to 75,577.50 and 164,764

Step by Step Solution

1. Step 1: Write the proportion equation
   75,577.50 : 164,764 = 164,764 : x
2. Step 2: Convert to fraction form
   75,577.50/164,764 = 164,764/x
3. Step 3: Cross multiply
   75,577.50x = 164,764 × 164,764
4. Step 4: Simplify right side
   75,577.50x = 27,147,175,696
5. Step 5: Solve for x
   x = 27,147,175,696/75,577.50
6. Step 6: Final answer
   x = 359,196.53