Finding the Third Proportional to 143,214 and 210,434

Step by Step Solution

1. Step 1: Write the proportion equation
   143,214 : 210,434 = 210,434 : x
2. Step 2: Convert to fraction form
   143,214/210,434 = 210,434/x
3. Step 3: Cross multiply
   143,214x = 210,434 × 210,434
4. Step 4: Simplify right side
   143,214x = 44,282,468,356
5. Step 5: Solve for x
   x = 44,282,468,356/143,214
6. Step 6: Final answer
   x = 309,204.88