Finding the Third Proportional to 106,096.50 and 230,853.38

Step by Step Solution

1. Step 1: Write the proportion equation
   106,096.50 : 230,853.38 = 230,853.38 : x
2. Step 2: Convert to fraction form
   106,096.50/230,853.38 = 230,853.38/x
3. Step 3: Cross multiply
   106,096.50x = 230,853.38 × 230,853.38
4. Step 4: Simplify right side
   106,096.50x = 53,293,280,748.89
5. Step 5: Solve for x
   x = 53,293,280,748.89/106,096.50
6. Step 6: Final answer
   x = 502,309.51