Finding the Third Proportional to 82,242 and 176,139

Step by Step Solution

1. Step 1: Write the proportion equation
   82,242 : 176,139 = 176,139 : x
2. Step 2: Convert to fraction form
   82,242/176,139 = 176,139/x
3. Step 3: Cross multiply
   82,242x = 176,139 × 176,139
4. Step 4: Simplify right side
   82,242x = 31,024,947,321
5. Step 5: Solve for x
   x = 31,024,947,321/82,242
6. Step 6: Final answer
   x = 377,239.70