Finding the Third Proportional to 89,929.69 and 194,268.38

Step by Step Solution

1. Step 1: Write the proportion equation
   89,929.69 : 194,268.38 = 194,268.38 : x
2. Step 2: Convert to fraction form
   89,929.69/194,268.38 = 194,268.38/x
3. Step 3: Cross multiply
   89,929.69x = 194,268.38 × 194,268.38
4. Step 4: Simplify right side
   89,929.69x = 37,740,201,525.14
5. Step 5: Solve for x
   x = 37,740,201,525.14/89,929.69
6. Step 6: Final answer
   x = 419,663.43