Finding the Third Proportional to 313,433 and 470,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,433 : 470,145.50 = 470,145.50 : x
2. Step 2: Convert to fraction form
   313,433/470,145.50 = 470,145.50/x
3. Step 3: Cross multiply
   313,433x = 470,145.50 × 470,145.50
4. Step 4: Simplify right side
   313,433x = 221,036,791,170.25
5. Step 5: Solve for x
   x = 221,036,791,170.25/313,433
6. Step 6: Final answer
   x = 705,212.25