Finding the Third Proportional to 123,826 and 186,018

Step by Step Solution

1. Step 1: Write the proportion equation
   123,826 : 186,018 = 186,018 : x
2. Step 2: Convert to fraction form
   123,826/186,018 = 186,018/x
3. Step 3: Cross multiply
   123,826x = 186,018 × 186,018
4. Step 4: Simplify right side
   123,826x = 34,602,696,324
5. Step 5: Solve for x
   x = 34,602,696,324/123,826
6. Step 6: Final answer
   x = 279,446.13