Finding the Third Proportional to 89,413 and 193,345

Step by Step Solution

1. Step 1: Write the proportion equation
   89,413 : 193,345 = 193,345 : x
2. Step 2: Convert to fraction form
   89,413/193,345 = 193,345/x
3. Step 3: Cross multiply
   89,413x = 193,345 × 193,345
4. Step 4: Simplify right side
   89,413x = 37,382,289,025
5. Step 5: Solve for x
   x = 37,382,289,025/89,413
6. Step 6: Final answer
   x = 418,085.61