Finding the Third Proportional to 102,870 and 223,956

Step by Step Solution

1. Step 1: Write the proportion equation
   102,870 : 223,956 = 223,956 : x
2. Step 2: Convert to fraction form
   102,870/223,956 = 223,956/x
3. Step 3: Cross multiply
   102,870x = 223,956 × 223,956
4. Step 4: Simplify right side
   102,870x = 50,156,289,936
5. Step 5: Solve for x
   x = 50,156,289,936/102,870
6. Step 6: Final answer
   x = 487,569.65