Finding the Third Proportional to 83,414 and 173,731

Step by Step Solution

1. Step 1: Write the proportion equation
   83,414 : 173,731 = 173,731 : x
2. Step 2: Convert to fraction form
   83,414/173,731 = 173,731/x
3. Step 3: Cross multiply
   83,414x = 173,731 × 173,731
4. Step 4: Simplify right side
   83,414x = 30,182,460,361
5. Step 5: Solve for x
   x = 30,182,460,361/83,414
6. Step 6: Final answer
   x = 361,839.26