Finding the Third Proportional to 197,523 and 298,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   197,523 : 298,003.50 = 298,003.50 : x
2. Step 2: Convert to fraction form
   197,523/298,003.50 = 298,003.50/x
3. Step 3: Cross multiply
   197,523x = 298,003.50 × 298,003.50
4. Step 4: Simplify right side
   197,523x = 88,806,086,012.25
5. Step 5: Solve for x
   x = 88,806,086,012.25/197,523
6. Step 6: Final answer
   x = 449,598.71