Finding the Third Proportional to 126,942 and 275,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,942 : 275,767.50 = 275,767.50 : x
2. Step 2: Convert to fraction form
   126,942/275,767.50 = 275,767.50/x
3. Step 3: Cross multiply
   126,942x = 275,767.50 × 275,767.50
4. Step 4: Simplify right side
   126,942x = 76,047,714,056.25
5. Step 5: Solve for x
   x = 76,047,714,056.25/126,942
6. Step 6: Final answer
   x = 599,074.49