Finding the Third Proportional to 49,262.50 and 102,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,262.50 : 102,028.50 = 102,028.50 : x
2. Step 2: Convert to fraction form
   49,262.50/102,028.50 = 102,028.50/x
3. Step 3: Cross multiply
   49,262.50x = 102,028.50 × 102,028.50
4. Step 4: Simplify right side
   49,262.50x = 10,409,814,812.25
5. Step 5: Solve for x
   x = 10,409,814,812.25/49,262.50
6. Step 6: Final answer
   x = 211,313.17