Finding the Third Proportional to 214,193 and 470,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,193 : 470,426.50 = 470,426.50 : x
2. Step 2: Convert to fraction form
   214,193/470,426.50 = 470,426.50/x
3. Step 3: Cross multiply
   214,193x = 470,426.50 × 470,426.50
4. Step 4: Simplify right side
   214,193x = 221,301,091,902.25
5. Step 5: Solve for x
   x = 221,301,091,902.25/214,193
6. Step 6: Final answer
   x = 1,033,185.45