Finding the Third Proportional to 49,648 and 108,222

Step by Step Solution

1. Step 1: Write the proportion equation
   49,648 : 108,222 = 108,222 : x
2. Step 2: Convert to fraction form
   49,648/108,222 = 108,222/x
3. Step 3: Cross multiply
   49,648x = 108,222 × 108,222
4. Step 4: Simplify right side
   49,648x = 11,712,001,284
5. Step 5: Solve for x
   x = 11,712,001,284/49,648
6. Step 6: Final answer
   x = 235,900.77