Finding the Third Proportional to 112,678 and 173,210

Step by Step Solution

1. Step 1: Write the proportion equation
   112,678 : 173,210 = 173,210 : x
2. Step 2: Convert to fraction form
   112,678/173,210 = 173,210/x
3. Step 3: Cross multiply
   112,678x = 173,210 × 173,210
4. Step 4: Simplify right side
   112,678x = 30,001,704,100
5. Step 5: Solve for x
   x = 30,001,704,100/112,678
6. Step 6: Final answer
   x = 266,260.53