Finding the Third Proportional to 142,966 and 210,290

Step by Step Solution

1. Step 1: Write the proportion equation
   142,966 : 210,290 = 210,290 : x
2. Step 2: Convert to fraction form
   142,966/210,290 = 210,290/x
3. Step 3: Cross multiply
   142,966x = 210,290 × 210,290
4. Step 4: Simplify right side
   142,966x = 44,221,884,100
5. Step 5: Solve for x
   x = 44,221,884,100/142,966
6. Step 6: Final answer
   x = 309,317.49