Finding the Third Proportional to 195,022 and 291,256

Step by Step Solution

1. Step 1: Write the proportion equation
   195,022 : 291,256 = 291,256 : x
2. Step 2: Convert to fraction form
   195,022/291,256 = 291,256/x
3. Step 3: Cross multiply
   195,022x = 291,256 × 291,256
4. Step 4: Simplify right side
   195,022x = 84,830,057,536
5. Step 5: Solve for x
   x = 84,830,057,536/195,022
6. Step 6: Final answer
   x = 434,976.86