Finding the Third Proportional to 180,105.50 and 388,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,105.50 : 388,142.50 = 388,142.50 : x
2. Step 2: Convert to fraction form
   180,105.50/388,142.50 = 388,142.50/x
3. Step 3: Cross multiply
   180,105.50x = 388,142.50 × 388,142.50
4. Step 4: Simplify right side
   180,105.50x = 150,654,600,306.25
5. Step 5: Solve for x
   x = 150,654,600,306.25/180,105.50
6. Step 6: Final answer
   x = 836,479.73