Finding the Third Proportional to 73,910 and 113,727

Step by Step Solution

1. Step 1: Write the proportion equation
   73,910 : 113,727 = 113,727 : x
2. Step 2: Convert to fraction form
   73,910/113,727 = 113,727/x
3. Step 3: Cross multiply
   73,910x = 113,727 × 113,727
4. Step 4: Simplify right side
   73,910x = 12,933,830,529
5. Step 5: Solve for x
   x = 12,933,830,529/73,910
6. Step 6: Final answer
   x = 174,994.32