Finding the Third Proportional to 142,273 and 213,040

Step by Step Solution

1. Step 1: Write the proportion equation
   142,273 : 213,040 = 213,040 : x
2. Step 2: Convert to fraction form
   142,273/213,040 = 213,040/x
3. Step 3: Cross multiply
   142,273x = 213,040 × 213,040
4. Step 4: Simplify right side
   142,273x = 45,386,041,600
5. Step 5: Solve for x
   x = 45,386,041,600/142,273
6. Step 6: Final answer
   x = 319,006.71