Finding the Third Proportional to 546,756.75 and 827,667.56

Step by Step Solution

1. Step 1: Write the proportion equation
   546,756.75 : 827,667.56 = 827,667.56 : x
2. Step 2: Convert to fraction form
   546,756.75/827,667.56 = 827,667.56/x
3. Step 3: Cross multiply
   546,756.75x = 827,667.56 × 827,667.56
4. Step 4: Simplify right side
   546,756.75x = 685,033,594,014.69
5. Step 5: Solve for x
   x = 685,033,594,014.69/546,756.75
6. Step 6: Final answer
   x = 1,252,903.77