Finding the Third Proportional to 145,786 and 224,892

Step by Step Solution

1. Step 1: Write the proportion equation
   145,786 : 224,892 = 224,892 : x
2. Step 2: Convert to fraction form
   145,786/224,892 = 224,892/x
3. Step 3: Cross multiply
   145,786x = 224,892 × 224,892
4. Step 4: Simplify right side
   145,786x = 50,576,411,664
5. Step 5: Solve for x
   x = 50,576,411,664/145,786
6. Step 6: Final answer
   x = 346,922.28