Finding the Third Proportional to 53,302 and 82,139

Step by Step Solution

1. Step 1: Write the proportion equation
   53,302 : 82,139 = 82,139 : x
2. Step 2: Convert to fraction form
   53,302/82,139 = 82,139/x
3. Step 3: Cross multiply
   53,302x = 82,139 × 82,139
4. Step 4: Simplify right side
   53,302x = 6,746,815,321
5. Step 5: Solve for x
   x = 6,746,815,321/53,302
6. Step 6: Final answer
   x = 126,577.15