Finding the Third Proportional to 123,624 and 176,616

Step by Step Solution

1. Step 1: Write the proportion equation
   123,624 : 176,616 = 176,616 : x
2. Step 2: Convert to fraction form
   123,624/176,616 = 176,616/x
3. Step 3: Cross multiply
   123,624x = 176,616 × 176,616
4. Step 4: Simplify right side
   123,624x = 31,193,211,456
5. Step 5: Solve for x
   x = 31,193,211,456/123,624
6. Step 6: Final answer
   x = 252,323.27