Finding the Third Proportional to 123,085.50 and 176,001

Step by Step Solution

1. Step 1: Write the proportion equation
   123,085.50 : 176,001 = 176,001 : x
2. Step 2: Convert to fraction form
   123,085.50/176,001 = 176,001/x
3. Step 3: Cross multiply
   123,085.50x = 176,001 × 176,001
4. Step 4: Simplify right side
   123,085.50x = 30,976,352,001
5. Step 5: Solve for x
   x = 30,976,352,001/123,085.50
6. Step 6: Final answer
   x = 251,665.32