Finding the Third Proportional to 142,077 and 212,143

Step by Step Solution

1. Step 1: Write the proportion equation
   142,077 : 212,143 = 212,143 : x
2. Step 2: Convert to fraction form
   142,077/212,143 = 212,143/x
3. Step 3: Cross multiply
   142,077x = 212,143 × 212,143
4. Step 4: Simplify right side
   142,077x = 45,004,652,449
5. Step 5: Solve for x
   x = 45,004,652,449/142,077
6. Step 6: Final answer
   x = 316,762.41