Finding the Third Proportional to 126,990 and 186,556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,990 : 186,556.50 = 186,556.50 : x
2. Step 2: Convert to fraction form
   126,990/186,556.50 = 186,556.50/x
3. Step 3: Cross multiply
   126,990x = 186,556.50 × 186,556.50
4. Step 4: Simplify right side
   126,990x = 34,803,327,692.25
5. Step 5: Solve for x
   x = 34,803,327,692.25/126,990
6. Step 6: Final answer
   x = 274,063.53