Finding the Third Proportional to 142,866 and 213,597

Step by Step Solution

1. Step 1: Write the proportion equation
   142,866 : 213,597 = 213,597 : x
2. Step 2: Convert to fraction form
   142,866/213,597 = 213,597/x
3. Step 3: Cross multiply
   142,866x = 213,597 × 213,597
4. Step 4: Simplify right side
   142,866x = 45,623,678,409
5. Step 5: Solve for x
   x = 45,623,678,409/142,866
6. Step 6: Final answer
   x = 319,345.95