Finding the Third Proportional to 410,616 and 877,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   410,616 : 877,978.13 = 877,978.13 : x
2. Step 2: Convert to fraction form
   410,616/877,978.13 = 877,978.13/x
3. Step 3: Cross multiply
   410,616x = 877,978.13 × 877,978.13
4. Step 4: Simplify right side
   410,616x = 770,845,587,978.52
5. Step 5: Solve for x
   x = 770,845,587,978.52/410,616
6. Step 6: Final answer
   x = 1,877,290.68