Finding the Third Proportional to 410,645.50 and 878,025

Step by Step Solution

1. Step 1: Write the proportion equation
   410,645.50 : 878,025 = 878,025 : x
2. Step 2: Convert to fraction form
   410,645.50/878,025 = 878,025/x
3. Step 3: Cross multiply
   410,645.50x = 878,025 × 878,025
4. Step 4: Simplify right side
   410,645.50x = 770,927,900,625
5. Step 5: Solve for x
   x = 770,927,900,625/410,645.50
6. Step 6: Final answer
   x = 1,877,356.26