Finding the Third Proportional to 468,824 and 700,144

Step by Step Solution

1. Step 1: Write the proportion equation
   468,824 : 700,144 = 700,144 : x
2. Step 2: Convert to fraction form
   468,824/700,144 = 700,144/x
3. Step 3: Cross multiply
   468,824x = 700,144 × 700,144
4. Step 4: Simplify right side
   468,824x = 490,201,620,736
5. Step 5: Solve for x
   x = 490,201,620,736/468,824
6. Step 6: Final answer
   x = 1,045,598.39