Finding the Third Proportional to 200,046 and 472,224

Step by Step Solution

1. Step 1: Write the proportion equation
   200,046 : 472,224 = 472,224 : x
2. Step 2: Convert to fraction form
   200,046/472,224 = 472,224/x
3. Step 3: Cross multiply
   200,046x = 472,224 × 472,224
4. Step 4: Simplify right side
   200,046x = 222,995,506,176
5. Step 5: Solve for x
   x = 222,995,506,176/200,046
6. Step 6: Final answer
   x = 1,114,721.15