Finding the Third Proportional to 365,839 and 546,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,839 : 546,004.50 = 546,004.50 : x
2. Step 2: Convert to fraction form
   365,839/546,004.50 = 546,004.50/x
3. Step 3: Cross multiply
   365,839x = 546,004.50 × 546,004.50
4. Step 4: Simplify right side
   365,839x = 298,120,914,020.25
5. Step 5: Solve for x
   x = 298,120,914,020.25/365,839
6. Step 6: Final answer
   x = 814,896.48