Finding the Third Proportional to 194,807.50 and 422,831

Step by Step Solution

1. Step 1: Write the proportion equation
   194,807.50 : 422,831 = 422,831 : x
2. Step 2: Convert to fraction form
   194,807.50/422,831 = 422,831/x
3. Step 3: Cross multiply
   194,807.50x = 422,831 × 422,831
4. Step 4: Simplify right side
   194,807.50x = 178,786,054,561
5. Step 5: Solve for x
   x = 178,786,054,561/194,807.50
6. Step 6: Final answer
   x = 917,757.55