Finding the Third Proportional to 49,090.50 and 102,555

Step by Step Solution

1. Step 1: Write the proportion equation
   49,090.50 : 102,555 = 102,555 : x
2. Step 2: Convert to fraction form
   49,090.50/102,555 = 102,555/x
3. Step 3: Cross multiply
   49,090.50x = 102,555 × 102,555
4. Step 4: Simplify right side
   49,090.50x = 10,517,528,025
5. Step 5: Solve for x
   x = 10,517,528,025/49,090.50
6. Step 6: Final answer
   x = 214,247.73