Finding the Third Proportional to 402,477.50 and 838,027

Step by Step Solution

1. Step 1: Write the proportion equation
   402,477.50 : 838,027 = 838,027 : x
2. Step 2: Convert to fraction form
   402,477.50/838,027 = 838,027/x
3. Step 3: Cross multiply
   402,477.50x = 838,027 × 838,027
4. Step 4: Simplify right side
   402,477.50x = 702,289,252,729
5. Step 5: Solve for x
   x = 702,289,252,729/402,477.50
6. Step 6: Final answer
   x = 1,744,915.56