Finding the Third Proportional to 432,084 and 908,016

Step by Step Solution

1. Step 1: Write the proportion equation
   432,084 : 908,016 = 908,016 : x
2. Step 2: Convert to fraction form
   432,084/908,016 = 908,016/x
3. Step 3: Cross multiply
   432,084x = 908,016 × 908,016
4. Step 4: Simplify right side
   432,084x = 824,493,056,256
5. Step 5: Solve for x
   x = 824,493,056,256/432,084
6. Step 6: Final answer
   x = 1,908,177.71