Finding the Third Proportional to 101,980 and 223,658

Step by Step Solution

1. Step 1: Write the proportion equation
   101,980 : 223,658 = 223,658 : x
2. Step 2: Convert to fraction form
   101,980/223,658 = 223,658/x
3. Step 3: Cross multiply
   101,980x = 223,658 × 223,658
4. Step 4: Simplify right side
   101,980x = 50,022,900,964
5. Step 5: Solve for x
   x = 50,022,900,964/101,980
6. Step 6: Final answer
   x = 490,516.78