Finding the Third Proportional to 414,567 and 878,954.63

Step by Step Solution

1. Step 1: Write the proportion equation
   414,567 : 878,954.63 = 878,954.63 : x
2. Step 2: Convert to fraction form
   414,567/878,954.63 = 878,954.63/x
3. Step 3: Cross multiply
   414,567x = 878,954.63 × 878,954.63
4. Step 4: Simplify right side
   414,567x = 772,561,232,808.89
5. Step 5: Solve for x
   x = 772,561,232,808.89/414,567
6. Step 6: Final answer
   x = 1,863,537.70