Finding the Third Proportional to 123,696 and 178,684

Step by Step Solution

1. Step 1: Write the proportion equation
   123,696 : 178,684 = 178,684 : x
2. Step 2: Convert to fraction form
   123,696/178,684 = 178,684/x
3. Step 3: Cross multiply
   123,696x = 178,684 × 178,684
4. Step 4: Simplify right side
   123,696x = 31,927,971,856
5. Step 5: Solve for x
   x = 31,927,971,856/123,696
6. Step 6: Final answer
   x = 258,116.45