Finding the Third Proportional to 193,086 and 298,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,086 : 298,975.50 = 298,975.50 : x
2. Step 2: Convert to fraction form
   193,086/298,975.50 = 298,975.50/x
3. Step 3: Cross multiply
   193,086x = 298,975.50 × 298,975.50
4. Step 4: Simplify right side
   193,086x = 89,386,349,600.25
5. Step 5: Solve for x
   x = 89,386,349,600.25/193,086
6. Step 6: Final answer
   x = 462,935.43