Finding the Third Proportional to 193,493 and 298,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,493 : 298,983.50 = 298,983.50 : x
2. Step 2: Convert to fraction form
   193,493/298,983.50 = 298,983.50/x
3. Step 3: Cross multiply
   193,493x = 298,983.50 × 298,983.50
4. Step 4: Simplify right side
   193,493x = 89,391,133,272.25
5. Step 5: Solve for x
   x = 89,391,133,272.25/193,493
6. Step 6: Final answer
   x = 461,986.39