Finding the Third Proportional to 200,588 and 427,168

Step by Step Solution

1. Step 1: Write the proportion equation
   200,588 : 427,168 = 427,168 : x
2. Step 2: Convert to fraction form
   200,588/427,168 = 427,168/x
3. Step 3: Cross multiply
   200,588x = 427,168 × 427,168
4. Step 4: Simplify right side
   200,588x = 182,472,500,224
5. Step 5: Solve for x
   x = 182,472,500,224/200,588
6. Step 6: Final answer
   x = 909,688.02