Finding the Third Proportional to 142,357.50 and 288,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,357.50 : 288,805.50 = 288,805.50 : x
2. Step 2: Convert to fraction form
   142,357.50/288,805.50 = 288,805.50/x
3. Step 3: Cross multiply
   142,357.50x = 288,805.50 × 288,805.50
4. Step 4: Simplify right side
   142,357.50x = 83,408,616,830.25
5. Step 5: Solve for x
   x = 83,408,616,830.25/142,357.50
6. Step 6: Final answer
   x = 585,909.54