Finding the Third Proportional to 103,204.69 and 209,314.69

Step by Step Solution

1. Step 1: Write the proportion equation
   103,204.69 : 209,314.69 = 209,314.69 : x
2. Step 2: Convert to fraction form
   103,204.69/209,314.69 = 209,314.69/x
3. Step 3: Cross multiply
   103,204.69x = 209,314.69 × 209,314.69
4. Step 4: Simplify right side
   103,204.69x = 43,812,638,403.22
5. Step 5: Solve for x
   x = 43,812,638,403.22/103,204.69
6. Step 6: Final answer
   x = 424,521.79