Finding the Third Proportional to 100,395.75 and 209,109

Step by Step Solution

1. Step 1: Write the proportion equation
   100,395.75 : 209,109 = 209,109 : x
2. Step 2: Convert to fraction form
   100,395.75/209,109 = 209,109/x
3. Step 3: Cross multiply
   100,395.75x = 209,109 × 209,109
4. Step 4: Simplify right side
   100,395.75x = 43,726,573,881
5. Step 5: Solve for x
   x = 43,726,573,881/100,395.75
6. Step 6: Final answer
   x = 435,542.08