Finding the Third Proportional to 200,216 and 431,456

Step by Step Solution

1. Step 1: Write the proportion equation
   200,216 : 431,456 = 431,456 : x
2. Step 2: Convert to fraction form
   200,216/431,456 = 431,456/x
3. Step 3: Cross multiply
   200,216x = 431,456 × 431,456
4. Step 4: Simplify right side
   200,216x = 186,154,279,936
5. Step 5: Solve for x
   x = 186,154,279,936/200,216
6. Step 6: Final answer
   x = 929,767.25