Finding the Third Proportional to 100,398 and 209,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,398 : 209,119.50 = 209,119.50 : x
2. Step 2: Convert to fraction form
   100,398/209,119.50 = 209,119.50/x
3. Step 3: Cross multiply
   100,398x = 209,119.50 × 209,119.50
4. Step 4: Simplify right side
   100,398x = 43,730,965,280.25
5. Step 5: Solve for x
   x = 43,730,965,280.25/100,398
6. Step 6: Final answer
   x = 435,576.06