Finding the Third Proportional to 123,084 and 176,013

Step by Step Solution

1. Step 1: Write the proportion equation
   123,084 : 176,013 = 176,013 : x
2. Step 2: Convert to fraction form
   123,084/176,013 = 176,013/x
3. Step 3: Cross multiply
   123,084x = 176,013 × 176,013
4. Step 4: Simplify right side
   123,084x = 30,980,576,169
5. Step 5: Solve for x
   x = 30,980,576,169/123,084
6. Step 6: Final answer
   x = 251,702.71