Finding the Third Proportional to 194,149 and 415,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,149 : 415,291.50 = 415,291.50 : x
2. Step 2: Convert to fraction form
   194,149/415,291.50 = 415,291.50/x
3. Step 3: Cross multiply
   194,149x = 415,291.50 × 415,291.50
4. Step 4: Simplify right side
   194,149x = 172,467,029,972.25
5. Step 5: Solve for x
   x = 172,467,029,972.25/194,149
6. Step 6: Final answer
   x = 888,323.04