Finding the Third Proportional to 126,532 and 185,990

Step by Step Solution

1. Step 1: Write the proportion equation
   126,532 : 185,990 = 185,990 : x
2. Step 2: Convert to fraction form
   126,532/185,990 = 185,990/x
3. Step 3: Cross multiply
   126,532x = 185,990 × 185,990
4. Step 4: Simplify right side
   126,532x = 34,592,280,100
5. Step 5: Solve for x
   x = 34,592,280,100/126,532
6. Step 6: Final answer
   x = 273,387.60