Finding the Third Proportional to 469,096 and 914,862

Step by Step Solution

1. Step 1: Write the proportion equation
   469,096 : 914,862 = 914,862 : x
2. Step 2: Convert to fraction form
   469,096/914,862 = 914,862/x
3. Step 3: Cross multiply
   469,096x = 914,862 × 914,862
4. Step 4: Simplify right side
   469,096x = 836,972,479,044
5. Step 5: Solve for x
   x = 836,972,479,044/469,096
6. Step 6: Final answer
   x = 1,784,224.29