Finding the Third Proportional to 334,701 and 468,144

Step by Step Solution

1. Step 1: Write the proportion equation
   334,701 : 468,144 = 468,144 : x
2. Step 2: Convert to fraction form
   334,701/468,144 = 468,144/x
3. Step 3: Cross multiply
   334,701x = 468,144 × 468,144
4. Step 4: Simplify right side
   334,701x = 219,158,804,736
5. Step 5: Solve for x
   x = 219,158,804,736/334,701
6. Step 6: Final answer
   x = 654,789.81