Finding the Third Proportional to 195,606 and 415,200.38

Step by Step Solution

1. Step 1: Write the proportion equation
   195,606 : 415,200.38 = 415,200.38 : x
2. Step 2: Convert to fraction form
   195,606/415,200.38 = 415,200.38/x
3. Step 3: Cross multiply
   195,606x = 415,200.38 × 415,200.38
4. Step 4: Simplify right side
   195,606x = 172,391,351,400.14
5. Step 5: Solve for x
   x = 172,391,351,400.14/195,606
6. Step 6: Final answer
   x = 881,319.34