Finding the Third Proportional to 365,832 and 563,016

Step by Step Solution

1. Step 1: Write the proportion equation
   365,832 : 563,016 = 563,016 : x
2. Step 2: Convert to fraction form
   365,832/563,016 = 563,016/x
3. Step 3: Cross multiply
   365,832x = 563,016 × 563,016
4. Step 4: Simplify right side
   365,832x = 316,987,016,256
5. Step 5: Solve for x
   x = 316,987,016,256/365,832
6. Step 6: Final answer
   x = 866,482.47