Finding the Third Proportional to 193,366.50 and 298,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,366.50 : 298,798.50 = 298,798.50 : x
2. Step 2: Convert to fraction form
   193,366.50/298,798.50 = 298,798.50/x
3. Step 3: Cross multiply
   193,366.50x = 298,798.50 × 298,798.50
4. Step 4: Simplify right side
   193,366.50x = 89,280,543,602.25
5. Step 5: Solve for x
   x = 89,280,543,602.25/193,366.50
6. Step 6: Final answer
   x = 461,716.71