Finding the Third Proportional to 301,826 and 423,003

Step by Step Solution

1. Step 1: Write the proportion equation
   301,826 : 423,003 = 423,003 : x
2. Step 2: Convert to fraction form
   301,826/423,003 = 423,003/x
3. Step 3: Cross multiply
   301,826x = 423,003 × 423,003
4. Step 4: Simplify right side
   301,826x = 178,931,538,009
5. Step 5: Solve for x
   x = 178,931,538,009/301,826
6. Step 6: Final answer
   x = 592,830.10