Finding the Third Proportional to 106,510 and 233,390

Step by Step Solution

1. Step 1: Write the proportion equation
   106,510 : 233,390 = 233,390 : x
2. Step 2: Convert to fraction form
   106,510/233,390 = 233,390/x
3. Step 3: Cross multiply
   106,510x = 233,390 × 233,390
4. Step 4: Simplify right side
   106,510x = 54,470,892,100
5. Step 5: Solve for x
   x = 54,470,892,100/106,510
6. Step 6: Final answer
   x = 511,415.76