Finding the Third Proportional to 126,396 and 268,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,396 : 268,375.50 = 268,375.50 : x
2. Step 2: Convert to fraction form
   126,396/268,375.50 = 268,375.50/x
3. Step 3: Cross multiply
   126,396x = 268,375.50 × 268,375.50
4. Step 4: Simplify right side
   126,396x = 72,025,409,000.25
5. Step 5: Solve for x
   x = 72,025,409,000.25/126,396
6. Step 6: Final answer
   x = 569,839.31