Finding the Third Proportional to 126,405 and 268,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,405 : 268,393.50 = 268,393.50 : x
2. Step 2: Convert to fraction form
   126,405/268,393.50 = 268,393.50/x
3. Step 3: Cross multiply
   126,405x = 268,393.50 × 268,393.50
4. Step 4: Simplify right side
   126,405x = 72,035,070,842.25
5. Step 5: Solve for x
   x = 72,035,070,842.25/126,405
6. Step 6: Final answer
   x = 569,875.17