Finding the Third Proportional to 73,942 and 113,770

Step by Step Solution

1. Step 1: Write the proportion equation
   73,942 : 113,770 = 113,770 : x
2. Step 2: Convert to fraction form
   73,942/113,770 = 113,770/x
3. Step 3: Cross multiply
   73,942x = 113,770 × 113,770
4. Step 4: Simplify right side
   73,942x = 12,943,612,900
5. Step 5: Solve for x
   x = 12,943,612,900/73,942
6. Step 6: Final answer
   x = 175,050.89