Finding the Third Proportional to 431,741 and 916,096

Step by Step Solution

1. Step 1: Write the proportion equation
   431,741 : 916,096 = 916,096 : x
2. Step 2: Convert to fraction form
   431,741/916,096 = 916,096/x
3. Step 3: Cross multiply
   431,741x = 916,096 × 916,096
4. Step 4: Simplify right side
   431,741x = 839,231,881,216
5. Step 5: Solve for x
   x = 839,231,881,216/431,741
6. Step 6: Final answer
   x = 1,943,831.79