Finding the Third Proportional to 199,825 and 418,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   199,825 : 418,123.75 = 418,123.75 : x
2. Step 2: Convert to fraction form
   199,825/418,123.75 = 418,123.75/x
3. Step 3: Cross multiply
   199,825x = 418,123.75 × 418,123.75
4. Step 4: Simplify right side
   199,825x = 174,827,470,314.06
5. Step 5: Solve for x
   x = 174,827,470,314.06/199,825
6. Step 6: Final answer
   x = 874,902.89