Finding the Third Proportional to 49,342 and 108,526

Step by Step Solution

1. Step 1: Write the proportion equation
   49,342 : 108,526 = 108,526 : x
2. Step 2: Convert to fraction form
   49,342/108,526 = 108,526/x
3. Step 3: Cross multiply
   49,342x = 108,526 × 108,526
4. Step 4: Simplify right side
   49,342x = 11,777,892,676
5. Step 5: Solve for x
   x = 11,777,892,676/49,342
6. Step 6: Final answer
   x = 238,699.13