Finding the Third Proportional to 200,488 and 291,256

Step by Step Solution

1. Step 1: Write the proportion equation
   200,488 : 291,256 = 291,256 : x
2. Step 2: Convert to fraction form
   200,488/291,256 = 291,256/x
3. Step 3: Cross multiply
   200,488x = 291,256 × 291,256
4. Step 4: Simplify right side
   200,488x = 84,830,057,536
5. Step 5: Solve for x
   x = 84,830,057,536/200,488
6. Step 6: Final answer
   x = 423,117.88