Finding the Third Proportional to 137,826 and 300,264

Step by Step Solution

1. Step 1: Write the proportion equation
   137,826 : 300,264 = 300,264 : x
2. Step 2: Convert to fraction form
   137,826/300,264 = 300,264/x
3. Step 3: Cross multiply
   137,826x = 300,264 × 300,264
4. Step 4: Simplify right side
   137,826x = 90,158,469,696
5. Step 5: Solve for x
   x = 90,158,469,696/137,826
6. Step 6: Final answer
   x = 654,147.04