Finding the Third Proportional to 185,426.25 and 398,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,426.25 : 398,796.50 = 398,796.50 : x
2. Step 2: Convert to fraction form
   185,426.25/398,796.50 = 398,796.50/x
3. Step 3: Cross multiply
   185,426.25x = 398,796.50 × 398,796.50
4. Step 4: Simplify right side
   185,426.25x = 159,038,648,412.25
5. Step 5: Solve for x
   x = 159,038,648,412.25/185,426.25
6. Step 6: Final answer
   x = 857,692.20