Finding the Third Proportional to 476,152 and 765,568

Step by Step Solution

1. Step 1: Write the proportion equation
   476,152 : 765,568 = 765,568 : x
2. Step 2: Convert to fraction form
   476,152/765,568 = 765,568/x
3. Step 3: Cross multiply
   476,152x = 765,568 × 765,568
4. Step 4: Simplify right side
   476,152x = 586,094,362,624
5. Step 5: Solve for x
   x = 586,094,362,624/476,152
6. Step 6: Final answer
   x = 1,230,897.62