Finding the Third Proportional to 224,202 and 342,870

Step by Step Solution

1. Step 1: Write the proportion equation
   224,202 : 342,870 = 342,870 : x
2. Step 2: Convert to fraction form
   224,202/342,870 = 342,870/x
3. Step 3: Cross multiply
   224,202x = 342,870 × 342,870
4. Step 4: Simplify right side
   224,202x = 117,559,836,900
5. Step 5: Solve for x
   x = 117,559,836,900/224,202
6. Step 6: Final answer
   x = 524,347.85