Finding the Third Proportional to 313,407 and 470,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,407 : 470,101.50 = 470,101.50 : x
2. Step 2: Convert to fraction form
   313,407/470,101.50 = 470,101.50/x
3. Step 3: Cross multiply
   313,407x = 470,101.50 × 470,101.50
4. Step 4: Simplify right side
   313,407x = 220,995,420,302.25
5. Step 5: Solve for x
   x = 220,995,420,302.25/313,407
6. Step 6: Final answer
   x = 705,138.75