Finding the Third Proportional to 73,674 and 113,310

Step by Step Solution

1. Step 1: Write the proportion equation
   73,674 : 113,310 = 113,310 : x
2. Step 2: Convert to fraction form
   73,674/113,310 = 113,310/x
3. Step 3: Cross multiply
   73,674x = 113,310 × 113,310
4. Step 4: Simplify right side
   73,674x = 12,839,156,100
5. Step 5: Solve for x
   x = 12,839,156,100/73,674
6. Step 6: Final answer
   x = 174,269.84