Finding the Third Proportional to 106,213.50 and 231,750

Step by Step Solution

1. Step 1: Write the proportion equation
   106,213.50 : 231,750 = 231,750 : x
2. Step 2: Convert to fraction form
   106,213.50/231,750 = 231,750/x
3. Step 3: Cross multiply
   106,213.50x = 231,750 × 231,750
4. Step 4: Simplify right side
   106,213.50x = 53,708,062,500
5. Step 5: Solve for x
   x = 53,708,062,500/106,213.50
6. Step 6: Final answer
   x = 505,661.36