Finding the Third Proportional to 53,282 and 108,139

Step by Step Solution

1. Step 1: Write the proportion equation
   53,282 : 108,139 = 108,139 : x
2. Step 2: Convert to fraction form
   53,282/108,139 = 108,139/x
3. Step 3: Cross multiply
   53,282x = 108,139 × 108,139
4. Step 4: Simplify right side
   53,282x = 11,694,043,321
5. Step 5: Solve for x
   x = 11,694,043,321/53,282
6. Step 6: Final answer
   x = 219,474.56