Finding the Third Proportional to 414,588 and 878,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,588 : 878,998.50 = 878,998.50 : x
2. Step 2: Convert to fraction form
   414,588/878,998.50 = 878,998.50/x
3. Step 3: Cross multiply
   414,588x = 878,998.50 × 878,998.50
4. Step 4: Simplify right side
   414,588x = 772,638,363,002.25
5. Step 5: Solve for x
   x = 772,638,363,002.25/414,588
6. Step 6: Final answer
   x = 1,863,629.35