Finding the Third Proportional to 101,262 and 209,004

Step by Step Solution

1. Step 1: Write the proportion equation
   101,262 : 209,004 = 209,004 : x
2. Step 2: Convert to fraction form
   101,262/209,004 = 209,004/x
3. Step 3: Cross multiply
   101,262x = 209,004 × 209,004
4. Step 4: Simplify right side
   101,262x = 43,682,672,016
5. Step 5: Solve for x
   x = 43,682,672,016/101,262
6. Step 6: Final answer
   x = 431,382.67