Finding the Third Proportional to 49,381 and 108,139

Step by Step Solution

1. Step 1: Write the proportion equation
   49,381 : 108,139 = 108,139 : x
2. Step 2: Convert to fraction form
   49,381/108,139 = 108,139/x
3. Step 3: Cross multiply
   49,381x = 108,139 × 108,139
4. Step 4: Simplify right side
   49,381x = 11,694,043,321
5. Step 5: Solve for x
   x = 11,694,043,321/49,381
6. Step 6: Final answer
   x = 236,812.61