Finding the Third Proportional to 142,375.50 and 288,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,375.50 : 288,841.50 = 288,841.50 : x
2. Step 2: Convert to fraction form
   142,375.50/288,841.50 = 288,841.50/x
3. Step 3: Cross multiply
   142,375.50x = 288,841.50 × 288,841.50
4. Step 4: Simplify right side
   142,375.50x = 83,429,412,122.25
5. Step 5: Solve for x
   x = 83,429,412,122.25/142,375.50
6. Step 6: Final answer
   x = 585,981.52