Finding the Third Proportional to 89,514 and 193,488

Step by Step Solution

1. Step 1: Write the proportion equation
   89,514 : 193,488 = 193,488 : x
2. Step 2: Convert to fraction form
   89,514/193,488 = 193,488/x
3. Step 3: Cross multiply
   89,514x = 193,488 × 193,488
4. Step 4: Simplify right side
   89,514x = 37,437,606,144
5. Step 5: Solve for x
   x = 37,437,606,144/89,514
6. Step 6: Final answer
   x = 418,231.85