Finding the Third Proportional to 365,838 and 546,003

Step by Step Solution

1. Step 1: Write the proportion equation
   365,838 : 546,003 = 546,003 : x
2. Step 2: Convert to fraction form
   365,838/546,003 = 546,003/x
3. Step 3: Cross multiply
   365,838x = 546,003 × 546,003
4. Step 4: Simplify right side
   365,838x = 298,119,276,009
5. Step 5: Solve for x
   x = 298,119,276,009/365,838
6. Step 6: Final answer
   x = 814,894.23