Finding the Third Proportional to 307,906 and 474,499

Step by Step Solution

1. Step 1: Write the proportion equation
   307,906 : 474,499 = 474,499 : x
2. Step 2: Convert to fraction form
   307,906/474,499 = 474,499/x
3. Step 3: Cross multiply
   307,906x = 474,499 × 474,499
4. Step 4: Simplify right side
   307,906x = 225,149,301,001
5. Step 5: Solve for x
   x = 225,149,301,001/307,906
6. Step 6: Final answer
   x = 731,227.39