Finding the Third Proportional to 314,896 and 492,558

Step by Step Solution

1. Step 1: Write the proportion equation
   314,896 : 492,558 = 492,558 : x
2. Step 2: Convert to fraction form
   314,896/492,558 = 492,558/x
3. Step 3: Cross multiply
   314,896x = 492,558 × 492,558
4. Step 4: Simplify right side
   314,896x = 242,613,383,364
5. Step 5: Solve for x
   x = 242,613,383,364/314,896
6. Step 6: Final answer
   x = 770,455.59