Finding the Third Proportional to 191,588 and 411,610

Step by Step Solution

1. Step 1: Write the proportion equation
   191,588 : 411,610 = 411,610 : x
2. Step 2: Convert to fraction form
   191,588/411,610 = 411,610/x
3. Step 3: Cross multiply
   191,588x = 411,610 × 411,610
4. Step 4: Simplify right side
   191,588x = 169,422,792,100
5. Step 5: Solve for x
   x = 169,422,792,100/191,588
6. Step 6: Final answer
   x = 884,307.95