Finding the Third Proportional to 191,388 and 419,064

Step by Step Solution

1. Step 1: Write the proportion equation
   191,388 : 419,064 = 419,064 : x
2. Step 2: Convert to fraction form
   191,388/419,064 = 419,064/x
3. Step 3: Cross multiply
   191,388x = 419,064 × 419,064
4. Step 4: Simplify right side
   191,388x = 175,614,636,096
5. Step 5: Solve for x
   x = 175,614,636,096/191,388
6. Step 6: Final answer
   x = 917,584.36