Finding the Third Proportional to 83,139 and 172,191

Step by Step Solution

1. Step 1: Write the proportion equation
   83,139 : 172,191 = 172,191 : x
2. Step 2: Convert to fraction form
   83,139/172,191 = 172,191/x
3. Step 3: Cross multiply
   83,139x = 172,191 × 172,191
4. Step 4: Simplify right side
   83,139x = 29,649,740,481
5. Step 5: Solve for x
   x = 29,649,740,481/83,139
6. Step 6: Final answer
   x = 356,628.54