Finding the Third Proportional to 365,229 and 796,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,229 : 796,918.50 = 796,918.50 : x
2. Step 2: Convert to fraction form
   365,229/796,918.50 = 796,918.50/x
3. Step 3: Cross multiply
   365,229x = 796,918.50 × 796,918.50
4. Step 4: Simplify right side
   365,229x = 635,079,095,642.25
5. Step 5: Solve for x
   x = 635,079,095,642.25/365,229
6. Step 6: Final answer
   x = 1,738,851.78