Finding the Third Proportional to 301,113 and 412,902

Step by Step Solution

1. Step 1: Write the proportion equation
   301,113 : 412,902 = 412,902 : x
2. Step 2: Convert to fraction form
   301,113/412,902 = 412,902/x
3. Step 3: Cross multiply
   301,113x = 412,902 × 412,902
4. Step 4: Simplify right side
   301,113x = 170,488,061,604
5. Step 5: Solve for x
   x = 170,488,061,604/301,113
6. Step 6: Final answer
   x = 566,192.96