Finding the Third Proportional to 83,729.50 and 180,578

Step by Step Solution

1. Step 1: Write the proportion equation
   83,729.50 : 180,578 = 180,578 : x
2. Step 2: Convert to fraction form
   83,729.50/180,578 = 180,578/x
3. Step 3: Cross multiply
   83,729.50x = 180,578 × 180,578
4. Step 4: Simplify right side
   83,729.50x = 32,608,414,084
5. Step 5: Solve for x
   x = 32,608,414,084/83,729.50
6. Step 6: Final answer
   x = 389,449.53