Finding the Third Proportional to 242,830 and 495,296

Step by Step Solution

1. Step 1: Write the proportion equation
   242,830 : 495,296 = 495,296 : x
2. Step 2: Convert to fraction form
   242,830/495,296 = 495,296/x
3. Step 3: Cross multiply
   242,830x = 495,296 × 495,296
4. Step 4: Simplify right side
   242,830x = 245,318,127,616
5. Step 5: Solve for x
   x = 245,318,127,616/242,830
6. Step 6: Final answer
   x = 1,010,246.38