Finding the Third Proportional to 142,677 and 213,570

Step by Step Solution

1. Step 1: Write the proportion equation
   142,677 : 213,570 = 213,570 : x
2. Step 2: Convert to fraction form
   142,677/213,570 = 213,570/x
3. Step 3: Cross multiply
   142,677x = 213,570 × 213,570
4. Step 4: Simplify right side
   142,677x = 45,612,144,900
5. Step 5: Solve for x
   x = 45,612,144,900/142,677
6. Step 6: Final answer
   x = 319,688.14