Finding the Third Proportional to 147,566 and 224,144

Step by Step Solution

1. Step 1: Write the proportion equation
   147,566 : 224,144 = 224,144 : x
2. Step 2: Convert to fraction form
   147,566/224,144 = 224,144/x
3. Step 3: Cross multiply
   147,566x = 224,144 × 224,144
4. Step 4: Simplify right side
   147,566x = 50,240,532,736
5. Step 5: Solve for x
   x = 50,240,532,736/147,566
6. Step 6: Final answer
   x = 340,461.44