Finding the Third Proportional to 144,429 and 224,513

Step by Step Solution

1. Step 1: Write the proportion equation
   144,429 : 224,513 = 224,513 : x
2. Step 2: Convert to fraction form
   144,429/224,513 = 224,513/x
3. Step 3: Cross multiply
   144,429x = 224,513 × 224,513
4. Step 4: Simplify right side
   144,429x = 50,406,087,169
5. Step 5: Solve for x
   x = 50,406,087,169/144,429
6. Step 6: Final answer
   x = 349,002.54