Finding the Third Proportional to 335,727 and 721,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,727 : 721,147.50 = 721,147.50 : x
2. Step 2: Convert to fraction form
   335,727/721,147.50 = 721,147.50/x
3. Step 3: Cross multiply
   335,727x = 721,147.50 × 721,147.50
4. Step 4: Simplify right side
   335,727x = 520,053,716,756.25
5. Step 5: Solve for x
   x = 520,053,716,756.25/335,727
6. Step 6: Final answer
   x = 1,549,037.51