Finding the Third Proportional to 106,210.50 and 231,744

Step by Step Solution

1. Step 1: Write the proportion equation
   106,210.50 : 231,744 = 231,744 : x
2. Step 2: Convert to fraction form
   106,210.50/231,744 = 231,744/x
3. Step 3: Cross multiply
   106,210.50x = 231,744 × 231,744
4. Step 4: Simplify right side
   106,210.50x = 53,705,281,536
5. Step 5: Solve for x
   x = 53,705,281,536/106,210.50
6. Step 6: Final answer
   x = 505,649.46