Finding the Third Proportional to 102,055.50 and 162,105

Step by Step Solution

1. Step 1: Write the proportion equation
   102,055.50 : 162,105 = 162,105 : x
2. Step 2: Convert to fraction form
   102,055.50/162,105 = 162,105/x
3. Step 3: Cross multiply
   102,055.50x = 162,105 × 162,105
4. Step 4: Simplify right side
   102,055.50x = 26,278,031,025
5. Step 5: Solve for x
   x = 26,278,031,025/102,055.50
6. Step 6: Final answer
   x = 257,487.65