Finding the Third Proportional to 546,507 and 827,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   546,507 : 827,383.50 = 827,383.50 : x
2. Step 2: Convert to fraction form
   546,507/827,383.50 = 827,383.50/x
3. Step 3: Cross multiply
   546,507x = 827,383.50 × 827,383.50
4. Step 4: Simplify right side
   546,507x = 684,563,456,072.25
5. Step 5: Solve for x
   x = 684,563,456,072.25/546,507
6. Step 6: Final answer
   x = 1,252,616.08