Finding the Third Proportional to 100,540 and 209,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,540 : 209,349.50 = 209,349.50 : x
2. Step 2: Convert to fraction form
   100,540/209,349.50 = 209,349.50/x
3. Step 3: Cross multiply
   100,540x = 209,349.50 × 209,349.50
4. Step 4: Simplify right side
   100,540x = 43,827,213,150.25
5. Step 5: Solve for x
   x = 43,827,213,150.25/100,540
6. Step 6: Final answer
   x = 435,918.17