Finding the Third Proportional to 49,655 and 108,046

Step by Step Solution

1. Step 1: Write the proportion equation
   49,655 : 108,046 = 108,046 : x
2. Step 2: Convert to fraction form
   49,655/108,046 = 108,046/x
3. Step 3: Cross multiply
   49,655x = 108,046 × 108,046
4. Step 4: Simplify right side
   49,655x = 11,673,938,116
5. Step 5: Solve for x
   x = 11,673,938,116/49,655
6. Step 6: Final answer
   x = 235,100.96