Finding the Third Proportional to 89,415 and 193,350

Step by Step Solution

1. Step 1: Write the proportion equation
   89,415 : 193,350 = 193,350 : x
2. Step 2: Convert to fraction form
   89,415/193,350 = 193,350/x
3. Step 3: Cross multiply
   89,415x = 193,350 × 193,350
4. Step 4: Simplify right side
   89,415x = 37,384,222,500
5. Step 5: Solve for x
   x = 37,384,222,500/89,415
6. Step 6: Final answer
   x = 418,097.89