Finding the Third Proportional to 397,597.50 and 828,729

Step by Step Solution

1. Step 1: Write the proportion equation
   397,597.50 : 828,729 = 828,729 : x
2. Step 2: Convert to fraction form
   397,597.50/828,729 = 828,729/x
3. Step 3: Cross multiply
   397,597.50x = 828,729 × 828,729
4. Step 4: Simplify right side
   397,597.50x = 686,791,755,441
5. Step 5: Solve for x
   x = 686,791,755,441/397,597.50
6. Step 6: Final answer
   x = 1,727,354.31