Finding the Third Proportional to 100,395 and 209,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,395 : 209,107.50 = 209,107.50 : x
2. Step 2: Convert to fraction form
   100,395/209,107.50 = 209,107.50/x
3. Step 3: Cross multiply
   100,395x = 209,107.50 × 209,107.50
4. Step 4: Simplify right side
   100,395x = 43,725,946,556.25
5. Step 5: Solve for x
   x = 43,725,946,556.25/100,395
6. Step 6: Final answer
   x = 435,539.09