Finding the Third Proportional to 365,843 and 546,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,843 : 546,010.50 = 546,010.50 : x
2. Step 2: Convert to fraction form
   365,843/546,010.50 = 546,010.50/x
3. Step 3: Cross multiply
   365,843x = 546,010.50 × 546,010.50
4. Step 4: Simplify right side
   365,843x = 298,127,466,110.25
5. Step 5: Solve for x
   x = 298,127,466,110.25/365,843
6. Step 6: Final answer
   x = 814,905.48