Finding the Third Proportional to 191,570 and 410,665

Step by Step Solution

1. Step 1: Write the proportion equation
   191,570 : 410,665 = 410,665 : x
2. Step 2: Convert to fraction form
   191,570/410,665 = 410,665/x
3. Step 3: Cross multiply
   191,570x = 410,665 × 410,665
4. Step 4: Simplify right side
   191,570x = 168,645,742,225
5. Step 5: Solve for x
   x = 168,645,742,225/191,570
6. Step 6: Final answer
   x = 880,334.82