Finding the Third Proportional to 106,128 and 231,942

Step by Step Solution

1. Step 1: Write the proportion equation
   106,128 : 231,942 = 231,942 : x
2. Step 2: Convert to fraction form
   106,128/231,942 = 231,942/x
3. Step 3: Cross multiply
   106,128x = 231,942 × 231,942
4. Step 4: Simplify right side
   106,128x = 53,797,091,364
5. Step 5: Solve for x
   x = 53,797,091,364/106,128
6. Step 6: Final answer
   x = 506,907.61