Finding the Third Proportional to 468,168 and 706,386

Step by Step Solution

1. Step 1: Write the proportion equation
   468,168 : 706,386 = 706,386 : x
2. Step 2: Convert to fraction form
   468,168/706,386 = 706,386/x
3. Step 3: Cross multiply
   468,168x = 706,386 × 706,386
4. Step 4: Simplify right side
   468,168x = 498,981,180,996
5. Step 5: Solve for x
   x = 498,981,180,996/468,168
6. Step 6: Final answer
   x = 1,065,816.50