Finding the Third Proportional to 116,738 and 173,406

Step by Step Solution

1. Step 1: Write the proportion equation
   116,738 : 173,406 = 173,406 : x
2. Step 2: Convert to fraction form
   116,738/173,406 = 173,406/x
3. Step 3: Cross multiply
   116,738x = 173,406 × 173,406
4. Step 4: Simplify right side
   116,738x = 30,069,640,836
5. Step 5: Solve for x
   x = 30,069,640,836/116,738
6. Step 6: Final answer
   x = 257,582.29