Finding the Third Proportional to 193,128 and 298,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,128 : 298,438.50 = 298,438.50 : x
2. Step 2: Convert to fraction form
   193,128/298,438.50 = 298,438.50/x
3. Step 3: Cross multiply
   193,128x = 298,438.50 × 298,438.50
4. Step 4: Simplify right side
   193,128x = 89,065,538,282.25
5. Step 5: Solve for x
   x = 89,065,538,282.25/193,128
6. Step 6: Final answer
   x = 461,173.62