Finding the Third Proportional to 49,272.50 and 102,045

Step by Step Solution

1. Step 1: Write the proportion equation
   49,272.50 : 102,045 = 102,045 : x
2. Step 2: Convert to fraction form
   49,272.50/102,045 = 102,045/x
3. Step 3: Cross multiply
   49,272.50x = 102,045 × 102,045
4. Step 4: Simplify right side
   49,272.50x = 10,413,182,025
5. Step 5: Solve for x
   x = 10,413,182,025/49,272.50
6. Step 6: Final answer
   x = 211,338.62