Finding the Third Proportional to 218,840 and 471,168

Step by Step Solution

1. Step 1: Write the proportion equation
   218,840 : 471,168 = 471,168 : x
2. Step 2: Convert to fraction form
   218,840/471,168 = 471,168/x
3. Step 3: Cross multiply
   218,840x = 471,168 × 471,168
4. Step 4: Simplify right side
   218,840x = 221,999,284,224
5. Step 5: Solve for x
   x = 221,999,284,224/218,840
6. Step 6: Final answer
   x = 1,014,436.50