Finding the Third Proportional to 142,560 and 199,307.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,560 : 199,307.25 = 199,307.25 : x
2. Step 2: Convert to fraction form
   142,560/199,307.25 = 199,307.25/x
3. Step 3: Cross multiply
   142,560x = 199,307.25 × 199,307.25
4. Step 4: Simplify right side
   142,560x = 39,723,379,902.56
5. Step 5: Solve for x
   x = 39,723,379,902.56/142,560
6. Step 6: Final answer
   x = 278,643.24