Finding the Third Proportional to 137,826 and 296,766

Step by Step Solution

1. Step 1: Write the proportion equation
   137,826 : 296,766 = 296,766 : x
2. Step 2: Convert to fraction form
   137,826/296,766 = 296,766/x
3. Step 3: Cross multiply
   137,826x = 296,766 × 296,766
4. Step 4: Simplify right side
   137,826x = 88,070,058,756
5. Step 5: Solve for x
   x = 88,070,058,756/137,826
6. Step 6: Final answer
   x = 638,994.52