Finding the Third Proportional to 123,326 and 185,007

Step by Step Solution

1. Step 1: Write the proportion equation
   123,326 : 185,007 = 185,007 : x
2. Step 2: Convert to fraction form
   123,326/185,007 = 185,007/x
3. Step 3: Cross multiply
   123,326x = 185,007 × 185,007
4. Step 4: Simplify right side
   123,326x = 34,227,590,049
5. Step 5: Solve for x
   x = 34,227,590,049/123,326
6. Step 6: Final answer
   x = 277,537.50