Finding the Third Proportional to 546,978 and 828,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   546,978 : 828,013.50 = 828,013.50 : x
2. Step 2: Convert to fraction form
   546,978/828,013.50 = 828,013.50/x
3. Step 3: Cross multiply
   546,978x = 828,013.50 × 828,013.50
4. Step 4: Simplify right side
   546,978x = 685,606,356,182.25
5. Step 5: Solve for x
   x = 685,606,356,182.25/546,978
6. Step 6: Final answer
   x = 1,253,444.12