Finding the Third Proportional to 114,672 and 173,738

Step by Step Solution

1. Step 1: Write the proportion equation
   114,672 : 173,738 = 173,738 : x
2. Step 2: Convert to fraction form
   114,672/173,738 = 173,738/x
3. Step 3: Cross multiply
   114,672x = 173,738 × 173,738
4. Step 4: Simplify right side
   114,672x = 30,184,892,644
5. Step 5: Solve for x
   x = 30,184,892,644/114,672
6. Step 6: Final answer
   x = 263,228.10