Finding the Third Proportional to 199,826 and 418,125.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,826 : 418,125.50 = 418,125.50 : x
2. Step 2: Convert to fraction form
   199,826/418,125.50 = 418,125.50/x
3. Step 3: Cross multiply
   199,826x = 418,125.50 × 418,125.50
4. Step 4: Simplify right side
   199,826x = 174,828,933,750.25
5. Step 5: Solve for x
   x = 174,828,933,750.25/199,826
6. Step 6: Final answer
   x = 874,905.84