Finding the Third Proportional to 101,264 and 209,008

Step by Step Solution

1. Step 1: Write the proportion equation
   101,264 : 209,008 = 209,008 : x
2. Step 2: Convert to fraction form
   101,264/209,008 = 209,008/x
3. Step 3: Cross multiply
   101,264x = 209,008 × 209,008
4. Step 4: Simplify right side
   101,264x = 43,684,344,064
5. Step 5: Solve for x
   x = 43,684,344,064/101,264
6. Step 6: Final answer
   x = 431,390.66