Finding the Third Proportional to 233,326 and 361,978

Step by Step Solution

1. Step 1: Write the proportion equation
   233,326 : 361,978 = 361,978 : x
2. Step 2: Convert to fraction form
   233,326/361,978 = 361,978/x
3. Step 3: Cross multiply
   233,326x = 361,978 × 361,978
4. Step 4: Simplify right side
   233,326x = 131,028,072,484
5. Step 5: Solve for x
   x = 131,028,072,484/233,326
6. Step 6: Final answer
   x = 561,566.53