Finding the Third Proportional to 298,138 and 446,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,138 : 446,026.50 = 446,026.50 : x
2. Step 2: Convert to fraction form
   298,138/446,026.50 = 446,026.50/x
3. Step 3: Cross multiply
   298,138x = 446,026.50 × 446,026.50
4. Step 4: Simplify right side
   298,138x = 198,939,638,702.25
5. Step 5: Solve for x
   x = 198,939,638,702.25/298,138
6. Step 6: Final answer
   x = 667,273.67