Finding the Third Proportional to 262,596.94 and 405,541.69

Step by Step Solution

1. Step 1: Write the proportion equation
   262,596.94 : 405,541.69 = 405,541.69 : x
2. Step 2: Convert to fraction form
   262,596.94/405,541.69 = 405,541.69/x
3. Step 3: Cross multiply
   262,596.94x = 405,541.69 × 405,541.69
4. Step 4: Simplify right side
   262,596.94x = 164,464,060,300.35
5. Step 5: Solve for x
   x = 164,464,060,300.35/262,596.94
6. Step 6: Final answer
   x = 626,298.47