Finding the Third Proportional to 193,153.50 and 298,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,153.50 : 298,831.50 = 298,831.50 : x
2. Step 2: Convert to fraction form
   193,153.50/298,831.50 = 298,831.50/x
3. Step 3: Cross multiply
   193,153.50x = 298,831.50 × 298,831.50
4. Step 4: Simplify right side
   193,153.50x = 89,300,265,392.25
5. Step 5: Solve for x
   x = 89,300,265,392.25/193,153.50
6. Step 6: Final answer
   x = 462,327.97