Finding the Third Proportional to 171,186 and 267,142

Step by Step Solution

1. Step 1: Write the proportion equation
   171,186 : 267,142 = 267,142 : x
2. Step 2: Convert to fraction form
   171,186/267,142 = 267,142/x
3. Step 3: Cross multiply
   171,186x = 267,142 × 267,142
4. Step 4: Simplify right side
   171,186x = 71,364,848,164
5. Step 5: Solve for x
   x = 71,364,848,164/171,186
6. Step 6: Final answer
   x = 416,884.84