Finding the Third Proportional to 140,414 and 302,970

Step by Step Solution

1. Step 1: Write the proportion equation
   140,414 : 302,970 = 302,970 : x
2. Step 2: Convert to fraction form
   140,414/302,970 = 302,970/x
3. Step 3: Cross multiply
   140,414x = 302,970 × 302,970
4. Step 4: Simplify right side
   140,414x = 91,790,820,900
5. Step 5: Solve for x
   x = 91,790,820,900/140,414
6. Step 6: Final answer
   x = 653,715.59