Finding the Third Proportional to 126,585 and 275,850

Step by Step Solution

1. Step 1: Write the proportion equation
   126,585 : 275,850 = 275,850 : x
2. Step 2: Convert to fraction form
   126,585/275,850 = 275,850/x
3. Step 3: Cross multiply
   126,585x = 275,850 × 275,850
4. Step 4: Simplify right side
   126,585x = 76,093,222,500
5. Step 5: Solve for x
   x = 76,093,222,500/126,585
6. Step 6: Final answer
   x = 601,123.53