Finding the Third Proportional to 108,126 and 172,182

Step by Step Solution

1. Step 1: Write the proportion equation
   108,126 : 172,182 = 172,182 : x
2. Step 2: Convert to fraction form
   108,126/172,182 = 172,182/x
3. Step 3: Cross multiply
   108,126x = 172,182 × 172,182
4. Step 4: Simplify right side
   108,126x = 29,646,641,124
5. Step 5: Solve for x
   x = 29,646,641,124/108,126
6. Step 6: Final answer
   x = 274,186.05