Finding the Third Proportional to 74,189.81 and 175,020.38

Step by Step Solution

1. Step 1: Write the proportion equation
   74,189.81 : 175,020.38 = 175,020.38 : x
2. Step 2: Convert to fraction form
   74,189.81/175,020.38 = 175,020.38/x
3. Step 3: Cross multiply
   74,189.81x = 175,020.38 × 175,020.38
4. Step 4: Simplify right side
   74,189.81x = 30,632,131,665.14
5. Step 5: Solve for x
   x = 30,632,131,665.14/74,189.81
6. Step 6: Final answer
   x = 412,888.65