Finding the Third Proportional to 191,572 and 410,644

Step by Step Solution

1. Step 1: Write the proportion equation
   191,572 : 410,644 = 410,644 : x
2. Step 2: Convert to fraction form
   191,572/410,644 = 410,644/x
3. Step 3: Cross multiply
   191,572x = 410,644 × 410,644
4. Step 4: Simplify right side
   191,572x = 168,628,494,736
5. Step 5: Solve for x
   x = 168,628,494,736/191,572
6. Step 6: Final answer
   x = 880,235.60