Finding the Third Proportional to 225,738 and 470,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,738 : 470,158.50 = 470,158.50 : x
2. Step 2: Convert to fraction form
   225,738/470,158.50 = 470,158.50/x
3. Step 3: Cross multiply
   225,738x = 470,158.50 × 470,158.50
4. Step 4: Simplify right side
   225,738x = 221,049,015,122.25
5. Step 5: Solve for x
   x = 221,049,015,122.25/225,738
6. Step 6: Final answer
   x = 979,228.20