Finding the Third Proportional to 142,968 and 210,288

Step by Step Solution

1. Step 1: Write the proportion equation
   142,968 : 210,288 = 210,288 : x
2. Step 2: Convert to fraction form
   142,968/210,288 = 210,288/x
3. Step 3: Cross multiply
   142,968x = 210,288 × 210,288
4. Step 4: Simplify right side
   142,968x = 44,221,042,944
5. Step 5: Solve for x
   x = 44,221,042,944/142,968
6. Step 6: Final answer
   x = 309,307.28