Finding the Third Proportional to 194,168.81 and 415,323.56

Step by Step Solution

1. Step 1: Write the proportion equation
   194,168.81 : 415,323.56 = 415,323.56 : x
2. Step 2: Convert to fraction form
   194,168.81/415,323.56 = 415,323.56/x
3. Step 3: Cross multiply
   194,168.81x = 415,323.56 × 415,323.56
4. Step 4: Simplify right side
   194,168.81x = 172,493,661,567.69
5. Step 5: Solve for x
   x = 172,493,661,567.69/194,168.81
6. Step 6: Final answer
   x = 888,369.56