Finding the Third Proportional to 106,105.50 and 230,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,105.50 : 230,872.50 = 230,872.50 : x
2. Step 2: Convert to fraction form
   106,105.50/230,872.50 = 230,872.50/x
3. Step 3: Cross multiply
   106,105.50x = 230,872.50 × 230,872.50
4. Step 4: Simplify right side
   106,105.50x = 53,302,111,256.25
5. Step 5: Solve for x
   x = 53,302,111,256.25/106,105.50
6. Step 6: Final answer
   x = 502,350.13