Finding the Third Proportional to 106,457.50 and 231,815

Step by Step Solution

1. Step 1: Write the proportion equation
   106,457.50 : 231,815 = 231,815 : x
2. Step 2: Convert to fraction form
   106,457.50/231,815 = 231,815/x
3. Step 3: Cross multiply
   106,457.50x = 231,815 × 231,815
4. Step 4: Simplify right side
   106,457.50x = 53,738,194,225
5. Step 5: Solve for x
   x = 53,738,194,225/106,457.50
6. Step 6: Final answer
   x = 504,785.42