Finding the Third Proportional to 90,447 and 193,350

Step by Step Solution

1. Step 1: Write the proportion equation
   90,447 : 193,350 = 193,350 : x
2. Step 2: Convert to fraction form
   90,447/193,350 = 193,350/x
3. Step 3: Cross multiply
   90,447x = 193,350 × 193,350
4. Step 4: Simplify right side
   90,447x = 37,384,222,500
5. Step 5: Solve for x
   x = 37,384,222,500/90,447
6. Step 6: Final answer
   x = 413,327.39