Finding the Third Proportional to 261,036 and 415,362.94

Step by Step Solution

1. Step 1: Write the proportion equation
   261,036 : 415,362.94 = 415,362.94 : x
2. Step 2: Convert to fraction form
   261,036/415,362.94 = 415,362.94/x
3. Step 3: Cross multiply
   261,036x = 415,362.94 × 415,362.94
4. Step 4: Simplify right side
   261,036x = 172,526,369,848.63
5. Step 5: Solve for x
   x = 172,526,369,848.63/261,036
6. Step 6: Final answer
   x = 660,929.41