Finding the Third Proportional to 123,224 and 266,088

Step by Step Solution

1. Step 1: Write the proportion equation
   123,224 : 266,088 = 266,088 : x
2. Step 2: Convert to fraction form
   123,224/266,088 = 266,088/x
3. Step 3: Cross multiply
   123,224x = 266,088 × 266,088
4. Step 4: Simplify right side
   123,224x = 70,802,823,744
5. Step 5: Solve for x
   x = 70,802,823,744/123,224
6. Step 6: Final answer
   x = 574,586.31