Finding the Third Proportional to 100,404 and 209,129.63

Step by Step Solution

1. Step 1: Write the proportion equation
   100,404 : 209,129.63 = 209,129.63 : x
2. Step 2: Convert to fraction form
   100,404/209,129.63 = 209,129.63/x
3. Step 3: Cross multiply
   100,404x = 209,129.63 × 209,129.63
4. Step 4: Simplify right side
   100,404x = 43,735,200,052.64
5. Step 5: Solve for x
   x = 43,735,200,052.64/100,404
6. Step 6: Final answer
   x = 435,592.21