Finding the Third Proportional to 194,214 and 262,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,214 : 262,399.50 = 262,399.50 : x
2. Step 2: Convert to fraction form
   194,214/262,399.50 = 262,399.50/x
3. Step 3: Cross multiply
   194,214x = 262,399.50 × 262,399.50
4. Step 4: Simplify right side
   194,214x = 68,853,497,600.25
5. Step 5: Solve for x
   x = 68,853,497,600.25/194,214
6. Step 6: Final answer
   x = 354,523.86