Finding the Third Proportional to 80,338.50 and 164,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,338.50 : 164,362.50 = 164,362.50 : x
2. Step 2: Convert to fraction form
   80,338.50/164,362.50 = 164,362.50/x
3. Step 3: Cross multiply
   80,338.50x = 164,362.50 × 164,362.50
4. Step 4: Simplify right side
   80,338.50x = 27,015,031,406.25
5. Step 5: Solve for x
   x = 27,015,031,406.25/80,338.50
6. Step 6: Final answer
   x = 336,265.07