Finding the Third Proportional to 49,426 and 76,446

Step by Step Solution

1. Step 1: Write the proportion equation
   49,426 : 76,446 = 76,446 : x
2. Step 2: Convert to fraction form
   49,426/76,446 = 76,446/x
3. Step 3: Cross multiply
   49,426x = 76,446 × 76,446
4. Step 4: Simplify right side
   49,426x = 5,843,990,916
5. Step 5: Solve for x
   x = 5,843,990,916/49,426
6. Step 6: Final answer
   x = 118,237.18