Finding the Third Proportional to 199,824.50 and 418,123

Step by Step Solution

1. Step 1: Write the proportion equation
   199,824.50 : 418,123 = 418,123 : x
2. Step 2: Convert to fraction form
   199,824.50/418,123 = 418,123/x
3. Step 3: Cross multiply
   199,824.50x = 418,123 × 418,123
4. Step 4: Simplify right side
   199,824.50x = 174,826,843,129
5. Step 5: Solve for x
   x = 174,826,843,129/199,824.50
6. Step 6: Final answer
   x = 874,901.94