Finding the Third Proportional to 106,100 and 231,884

Step by Step Solution

1. Step 1: Write the proportion equation
   106,100 : 231,884 = 231,884 : x
2. Step 2: Convert to fraction form
   106,100/231,884 = 231,884/x
3. Step 3: Cross multiply
   106,100x = 231,884 × 231,884
4. Step 4: Simplify right side
   106,100x = 53,770,189,456
5. Step 5: Solve for x
   x = 53,770,189,456/106,100
6. Step 6: Final answer
   x = 506,787.84