Finding the Third Proportional to 307,404 and 470,434

Step by Step Solution

1. Step 1: Write the proportion equation
   307,404 : 470,434 = 470,434 : x
2. Step 2: Convert to fraction form
   307,404/470,434 = 470,434/x
3. Step 3: Cross multiply
   307,404x = 470,434 × 470,434
4. Step 4: Simplify right side
   307,404x = 221,308,148,356
5. Step 5: Solve for x
   x = 221,308,148,356/307,404
6. Step 6: Final answer
   x = 719,926.05