Finding the Third Proportional to 123,224 and 176,216

Step by Step Solution

1. Step 1: Write the proportion equation
   123,224 : 176,216 = 176,216 : x
2. Step 2: Convert to fraction form
   123,224/176,216 = 176,216/x
3. Step 3: Cross multiply
   123,224x = 176,216 × 176,216
4. Step 4: Simplify right side
   123,224x = 31,052,078,656
5. Step 5: Solve for x
   x = 31,052,078,656/123,224
6. Step 6: Final answer
   x = 251,997.00