Finding the Third Proportional to 233,320 and 361,968

Step by Step Solution

1. Step 1: Write the proportion equation
   233,320 : 361,968 = 361,968 : x
2. Step 2: Convert to fraction form
   233,320/361,968 = 361,968/x
3. Step 3: Cross multiply
   233,320x = 361,968 × 361,968
4. Step 4: Simplify right side
   233,320x = 131,020,833,024
5. Step 5: Solve for x
   x = 131,020,833,024/233,320
6. Step 6: Final answer
   x = 561,549.94