Finding the Third Proportional to 85,126 and 172,684

Step by Step Solution

1. Step 1: Write the proportion equation
   85,126 : 172,684 = 172,684 : x
2. Step 2: Convert to fraction form
   85,126/172,684 = 172,684/x
3. Step 3: Cross multiply
   85,126x = 172,684 × 172,684
4. Step 4: Simplify right side
   85,126x = 29,819,763,856
5. Step 5: Solve for x
   x = 29,819,763,856/85,126
6. Step 6: Final answer
   x = 350,301.48