Finding the Third Proportional to 142,076 and 212,142

Step by Step Solution

1. Step 1: Write the proportion equation
   142,076 : 212,142 = 212,142 : x
2. Step 2: Convert to fraction form
   142,076/212,142 = 212,142/x
3. Step 3: Cross multiply
   142,076x = 212,142 × 212,142
4. Step 4: Simplify right side
   142,076x = 45,004,228,164
5. Step 5: Solve for x
   x = 45,004,228,164/142,076
6. Step 6: Final answer
   x = 316,761.65