Finding the Third Proportional to 49,534 and 108,100

Step by Step Solution

1. Step 1: Write the proportion equation
   49,534 : 108,100 = 108,100 : x
2. Step 2: Convert to fraction form
   49,534/108,100 = 108,100/x
3. Step 3: Cross multiply
   49,534x = 108,100 × 108,100
4. Step 4: Simplify right side
   49,534x = 11,685,610,000
5. Step 5: Solve for x
   x = 11,685,610,000/49,534
6. Step 6: Final answer
   x = 235,910.89