Finding the Third Proportional to 365,727 and 485,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,727 : 485,419.50 = 485,419.50 : x
2. Step 2: Convert to fraction form
   365,727/485,419.50 = 485,419.50/x
3. Step 3: Cross multiply
   365,727x = 485,419.50 × 485,419.50
4. Step 4: Simplify right side
   365,727x = 235,632,090,980.25
5. Step 5: Solve for x
   x = 235,632,090,980.25/365,727
6. Step 6: Final answer
   x = 644,284.10