Finding the Third Proportional to 142,184 and 213,641

Step by Step Solution

1. Step 1: Write the proportion equation
   142,184 : 213,641 = 213,641 : x
2. Step 2: Convert to fraction form
   142,184/213,641 = 213,641/x
3. Step 3: Cross multiply
   142,184x = 213,641 × 213,641
4. Step 4: Simplify right side
   142,184x = 45,642,476,881
5. Step 5: Solve for x
   x = 45,642,476,881/142,184
6. Step 6: Final answer
   x = 321,009.94