Finding the Third Proportional to 142,036 and 215,646

Step by Step Solution

1. Step 1: Write the proportion equation
   142,036 : 215,646 = 215,646 : x
2. Step 2: Convert to fraction form
   142,036/215,646 = 215,646/x
3. Step 3: Cross multiply
   142,036x = 215,646 × 215,646
4. Step 4: Simplify right side
   142,036x = 46,503,197,316
5. Step 5: Solve for x
   x = 46,503,197,316/142,036
6. Step 6: Final answer
   x = 327,404.30